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Calculate the Least Common Multiple or LCM of 650 and 676

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The instructions to find the LCM of 650 and 676 are the next:

1. Decompose all numbers into prime factors

6502
3255
655
1313
1
6762
3382
16913
1313
1

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

Prime factors of 650=2 . 52 . 13
Prime factors of 676=22 . 132

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

Common prime factors: 2 , 13

Common prime factors with the greatest exponent: 22, 132

Uncommon prime factors: 5

Uncommon prime factors with the greatest exponent: 52

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. 132. 52 = 16900


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