The prime factors of 15 are 3 and 5.
The prime factors of 18 are 2 and 3.
The highest power of each of these is 1.
Well, darling, the Highest Common Factor of 168 and 216 is 24. It's like finding the perfect pair of shoes that both numbers can comfortably slip into without any fuss. So, go ahead and strut your stuff knowing you've got that HCF on point.
The Highest Common Factor (HCF) of 16, 48, and 60 is 4. To find the HCF, you need to factorize each number into its prime factors. The prime factors of 16 are 2^4, the prime factors of 48 are 2^4 * 3, and the prime factors of 60 are 2^2 * 3 * 5. The HCF is the product of the common prime factors raised to the lowest power, which in this case is 2^2 = 4.
The greatest common factor (GCF) of 135 and 441 is 27. To find the GCF, you need to determine the prime factors of each number. The prime factors of 135 are 3 x 3 x 3 x 5, and the prime factors of 441 are 3 x 3 x 7 x 7. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 3 x 3 = 27.
Well, isn't that a happy little question! To find the LCM, we look for the smallest number that all three numbers can divide into evenly. First, we prime factorize each number: 32 = 2^5, 96 = 2^5 * 3, and 160 = 2^5 * 5. Then, we take the highest power of each prime factor present in the prime factorization of each number, which gives us 2^5 * 3 * 5 = 960. So, the LCM of 32, 96, and 160 is 960. Happy calculating!
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 70, 98, and 154 is 14.
2^4 x 7
To find the least common multiple (LCM) of 5ab and 7ab squared, we need to consider the highest power of each prime factor in both numbers. The prime factors in 5ab are 5, a, and b, while the prime factors in 7ab squared are 7, a, and b squared. The LCM will be the product of the highest power of each prime factor, which gives us 35ab squared.
Determine the factors of each term to get: 8 = 2³ 68 = 2² * 17 Next, find the LCM. Make note that the highest exponent of the prime gives the prime factor to that power. Therefore, the LCM is .... 2³ * 17 = 136
This is a LCM question, so factor all and find the highest power of each prime factor. 2 is prime 3 is prime 5 is prime 6 is [2 3] 7 is prime. LCM is [2] [3] [5] [7] so the answer is 210◄
First express each of the numbers in prime factors:16 = 2411 = 11 (prime number)20 = 22 x 5Now, select the highest power for all prime numbers:24, 11, and 5 then multiply them all together. (16)(11)(5) = 880 is the LCMNote: 22 is not "counted" because it was a factor at a higher power in one of the other numbers. Take only the factor with the highest power.
To find the highest common factor (HCF) of 81, 243, and 1215, we first need to find the prime factorization of each number. The prime factorization of 81 is 3^4, 243 is 3^5, and 1215 is 3^5 * 5. To find the HCF, we look for the highest power of each prime factor that appears in all the numbers. In this case, the highest power of 3 that appears in all three numbers is 3^4, so the HCF of 81, 243, and 1215 is 81.
Factor the two (or more) numbers into their primes and write each prime with its exponent (power). Now to find the LCM, take the highest power of each prime that occurs in either of the two (or more) prime factorizatons and multiply them. The product is the LCM. for example: 45=(3^2)(5) 50=2(5^2) So the highest power of 2 is 2^1, the highest power of 3 is 3^2, and the highest power of 5 is 5^1 The LCM is the product of these. So it is 2x5^2x3^2. For those primes not in either factorization, the highest power is 0, for example in our two numbers we have 13^0=1
Prime factorization of 108 = 22 x 33Prime factorization of 162 = 2 x 34LCM = Multiplying the highest power in each prime factor = 22 x 34 = 324.
The first step in finding the Least Common Multiple (LCM) of two or more numbers is to determine the prime factorization of each number. This involves breaking down each number into its prime factors. Once you have the prime factorization of each number, you can identify the common factors and the highest power of each prime factor that appears in any of the numbers. Finally, multiply these common factors together to find the LCM.
To find the least common multiple (LCM) of a set of numbers, you need to first find the prime factorization of each number. Then, you take the highest power of each prime factor that appears in any of the factorizations. In this case, the prime factorization of each number is: 2, 3, 2^2, 5, 2 * 3, 7, 2^3, 3^2, 2 * 5, 11, 2^2 * 3. Taking the highest power of each prime factor, the LCM is 2^3 * 3^2 * 5 * 7 * 11 = 27720.
Prime factor each number and choose the common factors to multiply.85=5x17155=5x315 is the greatest common factor.
To find the Least Common Multiple (LCM) of 18, 32, and 48, we first need to prime factorize each number. Then, we identify the highest power of each prime factor that appears in any of the factorizations. The LCM is the product of these prime factors raised to their highest powers: LCM(18, 32, 48) = 2^5 * 3^2 = 288.