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Calculate the Least Common Multiple or LCM of 123 and 451

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The instructions to find the LCM of 123 and 451 are the next:

1. Decompose all numbers into prime factors

1233
4141
1
45111
4141
1

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

Prime factors of 123=3 . 41
Prime factors of 451=11 . 41

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

Common prime factors: 41

Common prime factors with the greatest exponent: 411

Uncommon prime factors: 3 , 11

Uncommon prime factors with the greatest exponent: 31, 111

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 = 411. 31. 111 = 1353


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