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Calculate the Least Common Multiple or LCM of 372 and 510

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The instructions to find the LCM of 372 and 510 are the next:

1. Decompose all numbers into prime factors

3722
1862
933
3131
1
5102
2553
855
1717
1

2. Write all numbers as the product of its prime factors

Prime factors of 372=22 . 3 . 31
Prime factors of 510=2 . 3 . 5 . 17

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 22, 31

Uncommon prime factors: 31 , 5 , 17

Uncommon prime factors with the greatest exponent: 311, 51, 171

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 22. 31. 311. 51. 171 = 31620


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