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Least Common Multiple of 108, 180, 288

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 108, 180, 288 i.e. 4320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 108, 180, 288 is 4320.

LCM(108, 180, 288) = 4320

LCM of 108, 180, 288

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

LCM of:

Least Common Multiple (LCM) of 108,180,288 By Common Division

2 108, 180, 288
2 54, 90, 144
3 27, 45, 72
3 9, 15, 24
3, 5, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 8 = 4320

Least Common Multiple of 108,180,288 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 108,180,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,180,288) = 36

common factors(in case of two or more numbers have common factors) = 36

GCF(108,180,288) x common factors =36 x 36 = 1296

LCM(108,180,288) = ( 108 × 180 × 288 ) / 1296

LCM(108,180,288) = 5598720 / 1296

LCM(108,180,288) = 4320

∴ Least Common Multiple of 108,180,288 is 4320

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 108, 180, 288

1. What is the LCM of 108, 180, 288?

Answer: LCM of 108, 180, 288 is 4320.

2. What are the Factors of 4320?

Answer: Factors of 4320 are . There are integers that are factors of 4320

3. How to Find the LCM of 108, 180, 288 ?

Least Common Multiple of 108, 180, 288.

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(108, 180, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 4320.