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Calculate the Least Common Multiple or LCM of 123, 456 and 473

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The instructions to find the LCM of 123, 456 and 473 are the next:

1. Decompose all numbers into prime factors

1233
4141
1
4562
2282
1142
573
1919
1
47311
4343
1

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

Prime factors of 123=3 . 41
Prime factors of 456=23 . 3 . 19
Prime factors of 473=11 . 43

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: 3 , 41 , 2 , 19 , 11 , 43

Uncommon prime factors with the greatest exponent: 31, 411, 23, 191, 111, 431

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 = 31. 411. 23. 191. 111. 431 = 8843208


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