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Calculate the Least Common Multiple or LCM of 520 and 650

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The instructions to find the LCM of 520 and 650 are the next:

1. Decompose all numbers into prime factors

5202
2602
1302
655
1313
1
6502
3255
655
1313
1

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

Prime factors of 520=23 . 5 . 13
Prime factors of 650=2 . 52 . 13

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

Common prime factors: 2 , 5 , 13

Common prime factors with the greatest exponent: 23, 52, 131

Uncommon prime factors: None

Uncommon prime factors with the greatest exponent: None

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 = 23. 52. 131 = 2600


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