Least Common Multiple of 216, 9180

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 216, 9180 i.e. 18360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 216, 9180 is 18360.

LCM(216, 9180) = 18360

LCM of 216, 9180

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

LCM of:

Least Common Multiple of 216,9180

Least Common Multiple (LCM) of 216,9180 is 18360

2 216, 9180
2 108, 4590
3 54, 2295
3 18, 765
3 6, 255
2, 85

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 2 x 85 = 18360

Least Common Multiple of 216,9180 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 216,9180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,9180) = 108

common factors(in case of two or more numbers have common factors) = 1

GCF(216,9180) x common factors =108 x 1 = 108

LCM(216,9180) = ( 216 × 9180 ) / 108

LCM(216,9180) = 1982880 / 108

LCM(216,9180) = 18360

∴ Least Common Multiple of 216,9180 is 18360

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 216, 9180

1. What is the LCM of 216, 9180?

Answer: LCM of 216, 9180 is 18360.

2. What are the Factors of 18360?

Answer: Factors of 18360 are . There are integers that are factors of 18360

3. How to Find the LCM of 216, 9180 ?

Least Common Multiple of 216, 9180.

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(216, 9180) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 = 18360.