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How Given any two numbers which is greater the LCM of the numbers or. The GCF of the numbers why?
Wiki User
∙ 6y ago
The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number.
The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe LCM is at least as great. The LCM is a multiple of the two numbers and so must be at least as large as the two numbers. Consequently it must be at least as large as the larger of the two numbers. On the other hand, the GCF is a factor of the two numbers and so must be at most as large as the two numbers. Consequently it must be at most as large as the smaller of the two numbers. Combining these inequalities shows that the LCM must be at least as great as the GCF.
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Which is greater LCM or GCF. Why?
The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the LCM will never be less than the GCF. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one. Factors go into numbers, numbers go into multiples.
What is the LCM and GCF of 486472?
To find the LCM and GCF of numbers at least two or more numbers are neeeded.
If the GCF of two numbers and the LCM is 144 what would the numbers be?
If the GCF and the LCM are both 144, then so are both of the numbers.
What is a GCF and LCM?
The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.
How are the GCF and LCM alike and different?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
Is greater the LCM of the numbers or the numbers or the GCF of the numbers?
The LCM will never be less than the GCF of a set of numbers.
Which is greater gcf or LCM?
The LCM of two numbers will never be less than the GCF.
Which is greater the LCM of the number or GCF of the number?
The LCM of a set of numbers will never be less than the GCF.
Which is greater the GCF of a number or the LCM of a number?
The LCM of a set of numbers will never be less than the GCF.
What is the GCF and the LCM of 1570?
To find the GCF and LCM at least two or more numbers must be given
When is the LCM not the product of the two numbers?
When their GCF is greater than one.
How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
What is the pair of numbers whose gcf is 1 and LCM is 36?
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
What are the math terms gcf and LCM?
GCF - Greatest Common Factor (GCF is always smaller or equal to at least one of the numbers) LCM - Least Common Multiple (LCM is always greater or equal to at least one of the numbers)
Is the GCF of 2 different numbers greater than the LCM of the numbers?
No.The gcf of two numbers is LESS THAN OR EQUAL than their lcm.The gcf of two DIFFERENT numbes is LESS THAN their lcm.
When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?
If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
What do LCM and GCF have in common?
They are both found from the relationships between the members of a given set of numbers. They have kind of an inverse relationship. Since the product of the LCM and GCF of two numbers is equal to the product of the original numbers, when the GCF increases, the LCM decreases and vice versa.
