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The Least Common Multiple (LCM) for 6 7 is 42.
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Does a factor mean the same as a highest common multiple?
No.When talking about factors and multiples the numbers are integers (whole numbers).A factor of a number means that the number is a multiple of the factor; the factor divides into the number without any remainder.There is no such thing as a Highest Common Multiple - it is always possible to find a higher common multiple (by adding the Lowest Common Multiple to the supposed highest common multiple).There is a Lowest Common Multiple (LCM) which is the smallest number which is a multiple of two or more numbers. It is also called the Least Common Multiple, or when working with fractions it can be referred to as the Least Common Denominator as the two or more numbers are the denominators of the fractions and equivalent fractions are being sought to be able to do an addition or subtraction.There is a Highest Common Factor (HCF) which is the largest number which divides into each of the two or more numbers without remainder. It is also called the Greatest Common Factor. If the numbers are relatively prime (or co-prime) their HCF is 1.
What is the least common multiple of 10 16 and 24?
One way to solve this is to find the least common multiple of two of the numbers, and then find the least common multiple of that result with the third number. The least common multiple of two numbers is their product divided by their greatest common factor.The greatest common factor of 10 and 16 is 2, so the least common multiple is 10 x 16 ÷ 2 = 80.The greatest common factor of 80 and 24 is 8, so the least common multiple is 80 x 24 ÷ 8 = 240.The least common multiple of 10, 16, and 24 is 240.Another way to solve this is to find the prime factors of each number, then choose the highest power of each factor and multiply them together.The prime factors of 10 are 2 and 5.The prime factors of 16 are 2, 2, 2, and 2, which is 24.The prime factors of 24 are 2, 2, 2, and 3, which is 23 and 3.The highest power of 2 is 24, the highest power of 3 is 3, and the highest power of 5 is 5. So, the least common multiple is 24 x 3 x 5 = 16 x 3 x 5 = 240.
What is the lcm of 49 and 63?
The least common multiple (LCM) of 49 and 63 is 441. This is obtained by finding the prime factorization of each number (49 = 7^2 and 63 = 7 * 3^2), and taking the highest power of each prime factor.
Least common multiple of 15 25 and 30?
Prime factor each number. Use each prime factor the most it was used in any one number. 15=3x5 25=5x5 30=2x3x5 2x3x5x5=150
What is The smallest number that each of the denominators will divide into evenly is called the?
The smallest number that each of the denominators will divide into evenly is called the least common multiple (LCM).
What is the difference between greatest common factor and least common factor?
The greatest common factor of two (or more) integers is the biggest whole number that divides into each one of them. The least common factor is the smallest whole number that divides into each one of them and must be 1. Very possibly, you meant the least common multiple, however?
What is the least common multiple of 9 36 and 45?
The least common multiple is the smallest integer of which each number is a factor. The LCM of 9, 36, and 45 is 180.
What is the least common multiple of each factor pair 30 and 50?
The LCM of 30 and 50 is 150.
Why is the least common factor not something of mathematical interest?
You do not find the greatest common multiple because there is really no such thing. Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.
What is the least common multiple of 13 and 117?
Since 13 is a factor of 117, the least common multiple is 117. 13 x 9 = 117 117 x 1 = 117 Another way to determine the least common multiple is to multiply both numbers and divide by their greatest common factor. The greatest common factor of 13 and 117 is 13, so the least common multiple is 13 x 117 ÷ 13 = 117. Another way to determine the least common multiple is to determine the prime factors of the numbers and take the highest power of each prime factor. The prime factors of 13 are 13. The prime factors of 117 are 32 and 13. The highest power of 3 is 32 and the highest power of 13 is 131. Therefore, the least common multiple of 13 and 117 is 32 x 131 = 9 x 13 = 117.
What is the least common factor of 16 20 and 24?
There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.
What is is the least common multiple of 12 and 21?
The LCM of 12 and 21 is 84. To find the LCM, prime factor both numbers then multiply each factor the most times it was used in either number.12=2x2x321=3x7lcm=2x2x3x7=84The Least Common Multiple (LCM) for 12 21 is 84.
Does a factor mean the same as a highest common multiple?
No.When talking about factors and multiples the numbers are integers (whole numbers).A factor of a number means that the number is a multiple of the factor; the factor divides into the number without any remainder.There is no such thing as a Highest Common Multiple - it is always possible to find a higher common multiple (by adding the Lowest Common Multiple to the supposed highest common multiple).There is a Lowest Common Multiple (LCM) which is the smallest number which is a multiple of two or more numbers. It is also called the Least Common Multiple, or when working with fractions it can be referred to as the Least Common Denominator as the two or more numbers are the denominators of the fractions and equivalent fractions are being sought to be able to do an addition or subtraction.There is a Highest Common Factor (HCF) which is the largest number which divides into each of the two or more numbers without remainder. It is also called the Greatest Common Factor. If the numbers are relatively prime (or co-prime) their HCF is 1.
What is the least common multiple of 4 6 and 24?
Factor each one and multiply the prime factors the times it was used the most in any of the numbers. 6=2x3 9=3x3 25=5x5 2x3x3x5x5=450
What is the least common multiple of 10 16 and 24?
One way to solve this is to find the least common multiple of two of the numbers, and then find the least common multiple of that result with the third number. The least common multiple of two numbers is their product divided by their greatest common factor.The greatest common factor of 10 and 16 is 2, so the least common multiple is 10 x 16 ÷ 2 = 80.The greatest common factor of 80 and 24 is 8, so the least common multiple is 80 x 24 ÷ 8 = 240.The least common multiple of 10, 16, and 24 is 240.Another way to solve this is to find the prime factors of each number, then choose the highest power of each factor and multiply them together.The prime factors of 10 are 2 and 5.The prime factors of 16 are 2, 2, 2, and 2, which is 24.The prime factors of 24 are 2, 2, 2, and 3, which is 23 and 3.The highest power of 2 is 24, the highest power of 3 is 3, and the highest power of 5 is 5. So, the least common multiple is 24 x 3 x 5 = 16 x 3 x 5 = 240.
How you know that any numbers have at least one common factor?
You can start by listing out each number's factors. Then, when you find at least one common factor, that is your answer!
What is the least common multiple of 840 and 1400?
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 1050 and 1400 is 4200.
