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How do you find least common multiple using prime factorization?

Anonymous

∙ 12y ago

Updated: 4/28/2022

Example: 30 and 42

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Combine the factors, eliminating duplicates.

2 x 3 x 5 x 7 = 210, the LCM

Wiki User

∙ 12y ago

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Q: How do you find least common multiple using prime factorization?

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What is the use of prime factorization?

Prime factorization helps to find the greatest common factor and the least common multiple which, in turn, help in the adding, subtracting and reducing of fractions.

What is the least common multiple of 15 50 and 75?

Prime factorization of 15 = 3x5Prime factorization of 50 = 2x5x5Prime factorization of 75 = 3x5x5LCM = 5x5x3x2 = 150

What method would be useful to find the Least common multiple of a group of four number?

Prime factorization.

What is the lcm of 8 and 42 using prime factorization?

Least Common Multiple (LCM) for 8 42 is 168.

Least common multiple of 168 and 378?

To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 168 is 2^3 * 3 * 7 and the prime factorization of 378 is 2 * 3^3 * 7. To find the LCM, you take the highest power of each prime factor that appears in either number: 2^3 * 3^3 * 7 = 1512. Therefore, the least common multiple of 168 and 378 is 1512.

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