Find the smallest number which when divided by 161, 207 and 184 leaves remainder 21 in each case.

Least Common Multiple

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The instructions to find the LCM of 161, 184 and 207 are the next:

1. Decompose all numbers into prime factors

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

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

Common prime factors: 23

Common prime factors with the greatest exponent: 231

Uncommon prime factors: 7 , 2 , 3

Uncommon prime factors with the greatest exponent: 71, 23, 32

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 = 231. 71. 23. 32 = 11592

Also calculates the:

Greatest Common Factor or GCF of 161, 184 and 207

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