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Least Common Multiple of 180, 225, 270

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 180, 225, 270 i.e. 2700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 180, 225, 270 is 2700.

LCM(180, 225, 270) = 2700

LCM of 180, 225, 270

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

LCM of:

Least Common Multiple (LCM) of 180,225,270 By Common Division

2 180, 225, 270
3 90, 225, 135
3 30, 75, 45
5 10, 25, 15
2, 5, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 2 x 5 x 3 = 2700

Least Common Multiple of 180,225,270 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 180,225,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,225,270) = 45

common factors(in case of two or more numbers have common factors) = 90

GCF(180,225,270) x common factors =45 x 90 = 4050

LCM(180,225,270) = ( 180 × 225 × 270 ) / 4050

LCM(180,225,270) = 10935000 / 4050

LCM(180,225,270) = 2700

∴ Least Common Multiple of 180,225,270 is 2700

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 180, 225, 270

1. What is the LCM of 180, 225, 270?

Answer: LCM of 180, 225, 270 is 2700.

2. What are the Factors of 2700?

Answer: Factors of 2700 are . There are integers that are factors of 2700

3. How to Find the LCM of 180, 225, 270 ?

Least Common Multiple of 180, 225, 270.

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(180, 225, 270) = 2 x 2 x 3 x 3 x 3 x 5 x 5 = 2700.