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What is LCM of 12, 500 | 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:

12 = 2, 2, 3

500 = 2, 2, 5, 5, 5

Identify the highest powers of all prime numbers that appear in the factorization: $2^2 × 3^1 × 5^3$
To find LCM multiply these highest powers: LCM(12, 500) = $2^2 × 3^1 × 5^3$ = 1500

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Listing All Common Factors Method

To find the Least Common Multiple (LCM) of 12 and 500 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 12

12, 24, 36, 48, 60, 72, 84, 96, 108, 120,…

Multiples of 500

500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000,…

Common multiples

Identify the common multiples from the lists above: 6000, 12000,…

The smallest common multiple is 1500.

The LCM of 12 and 500 using the common multiples method is 1500.

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Summary

What is the LCM of 12 and 500? The answer is 1500. LCM using prime factorisation, common factor, video tutorial & instructions for each step.

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What is the LCM of 12 and 500?

Answer: The LCM of 12 and 500 is 1500

Prime Factorization Method

Watch the Animated Step-by-Step Solution

Listing All Common Factors Method

Review Sub Calculations

Time for More Practice

Summary

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