Least Common Multiple of 204, 9282, 221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 204, 9282, 221 i.e. 18564 smallest integer divisible by all numbers.

Least common multiple (LCM) of 204, 9282, 221 is 18564.

LCM(204, 9282, 221) = 18564

LCM of 204, 9282, 221

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 204,9282,221

Least Common Multiple (LCM) of 204,9282,221 is 18564

2 204, 9282, 221
3 102, 4641, 221
13 34, 1547, 221
17 34, 119, 17
2, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 2 x 7 x 1 = 18564

Least Common Multiple of 204,9282,221 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 204,9282,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,9282,221) = 17

common factors(in case of two or more numbers have common factors) = 1326

GCF(204,9282,221) x common factors =17 x 1326 = 22542

LCM(204,9282,221) = ( 204 × 9282 × 221 ) / 22542

LCM(204,9282,221) = 418469688 / 22542

LCM(204,9282,221) = 18564

∴ Least Common Multiple of 204,9282,221 is 18564

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 204, 9282, 221

1. What is the LCM of 204, 9282, 221?

Answer: LCM of 204, 9282, 221 is 18564.

2. What are the Factors of 18564?

Answer: Factors of 18564 are . There are integers that are factors of 18564

3. How to Find the LCM of 204, 9282, 221 ?

Least Common Multiple of 204, 9282, 221.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(204, 9282, 221) = 2 x 2 x 3 x 7 x 13 x 17 = 18564.