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Calculate the Least Common Multiple or LCM of 49, 76 and 232

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The instructions to find the LCM of 49, 76 and 232 are the next:

1. Decompose all numbers into prime factors

497
77
1
762
382
1919
1
2322
1162
582
2929
1

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

Prime factors of 49=72
Prime factors of 76=22 . 19
Prime factors of 232=23 . 29

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: 7 , 2 , 19 , 29

Uncommon prime factors with the greatest exponent: 72, 23, 191, 291

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 = 72. 23. 191. 291 = 215992


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