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What is LCM of 851, 1792 | Prime factorisation, common factor

Prime Factorization Method

There are multiple ways to find the least common multiple of given integers. In this method, we find the prime factors of each number, and then take the highest power of each prime that appears in the factorization of either number for find LCM.

Find the prime factorization of each number:

851 = 23, 37

1792 = 2, 2, 2, 2, 2, 2, 2, 2, 7

Identify the highest powers of all prime numbers that appear in the factorization: $2^8 × 7^1 × 23^1 × 37^1$
To find LCM multiply these highest powers: LCM(851, 1792) = $2^8 × 7^1 × 23^1 × 37^1$ = 1524992

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 851 and 1792 using the method of listing common multiples, follow these steps:

List some multiples of each number.
Identify the smallest multiple that is common to both lists.

Multiples of 851

851, 1702, 2553, 3404, 4255, 5106, 5957, 6808, 7659, 8510,…

Multiples of 1792

1792, 3584, 5376, 7168, 8960, 10752, 12544, 14336, 16128, 17920,…

Common multiples

Identify the common multiples from the lists above: 1524992, 3049984,…

The smallest common multiple is 1524992.

The LCM of 851 and 1792 using the common multiples method is 1524992.

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Summary

What is the LCM of 851 and 1792? The answer is 1524992. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 851 and 1792?

Answer: The LCM of 851 and 1792 is 1524992

Prime Factorization Method

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Listing All Common Factors Method

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Summary

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