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Calculate the Least Common Multiple or LCM of 124, 126 and 143

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The instructions to find the LCM of 124, 126 and 143 are the next:

1. Decompose all numbers into prime factors

1242
622
3131
1
1262
633
213
77
1
14311
1313
1

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

Prime factors of 124=22 . 31
Prime factors of 126=2 . 32 . 7
Prime factors of 143=11 . 13

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: 2 , 31 , 3 , 7 , 11 , 13

Uncommon prime factors with the greatest exponent: 22, 311, 32, 71, 111, 131

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. 311. 32. 71. 111. 131 = 1117116


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