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# Calculate the Least Common Multiple or LCM of 280, 21, 58, 7, 3 and 18

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The instructions to find the LCM of 280, 21, 58, 7, 3 and 18 are the next:

## 1. Decompose all numbers into prime factors

 280 2 140 2 70 2 35 5 7 7 1
 21 3 7 7 1
 58 2 29 29 1
 7 7 1
 3 3 1
 18 2 9 3 3 3 1

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

 Prime factors of 280 = 23 . 5 . 7 Prime factors of 21 = 3 . 7 Prime factors of 58 = 2 . 29 Prime factors of 7 = 7 Prime factors of 3 = 3 Prime factors of 18 = 2 . 32

## 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: 2 , 5 , 7 , 3 , 29

Uncommon prime factors with the greatest exponent: 23, 51, 71, 32, 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 = 23. 51. 71. 32. 291 = 73080

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