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Calculate the Least Common Multiple or LCM of 38, 95 and 171

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The instructions to find the LCM of 38, 95 and 171 are the next:

1. Decompose all numbers into prime factors

382
1919
1
955
1919
1
1713
573
1919
1

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

Prime factors of 38=2 . 19
Prime factors of 95=5 . 19
Prime factors of 171=32 . 19

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

Common prime factors: 19

Common prime factors with the greatest exponent: 191

Uncommon prime factors: 2 , 5 , 3

Uncommon prime factors with the greatest exponent: 21, 51, 32

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 = 191. 21. 51. 32 = 1710


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