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Calculate the Least Common Multiple or LCM of 65, 143 and 156

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The instructions to find the LCM of 65, 143 and 156 are the next:

1. Decompose all numbers into prime factors

655
1313
1
14311
1313
1
1562
782
393
1313
1

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

Prime factors of 65=5 . 13
Prime factors of 143=11 . 13
Prime factors of 156=22 . 3 . 13

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

Common prime factors: 13

Common prime factors with the greatest exponent: 131

Uncommon prime factors: 5 , 11 , 2 , 3

Uncommon prime factors with the greatest exponent: 51, 111, 22, 31

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 = 131. 51. 111. 22. 31 = 8580


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