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Calculate the Least Common Multiple or LCM of 5, 100 and 239

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The instructions to find the LCM of 5, 100 and 239 are the next:

1. Decompose all numbers into prime factors

55
1
1002
502
255
55
1
239239
1

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

Prime factors of 5=5
Prime factors of 100=22 . 52
Prime factors of 239=239

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

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 5 , 2 , 239

Uncommon prime factors with the greatest exponent: 52, 22, 2391

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 = 52. 22. 2391 = 23900


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