Least Common Multiple of 90, 75, 216

Q: How to Find the LCM of 90, 75, 216 ?

Least Common Multiple of 90, 75, 216 = 5400 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(90, 75, 216) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 = 5400.

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 90, 75, 216 i.e. 5400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 75, 216 is 5400.

LCM(90, 75, 216) = 5400

LCM of 90, 75, 216

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

Least Common Multiple of 90, 75, 216 by common division method
Least Common Multiple of 90, 75, 216 with GCF Formula

Least Common Multiple of 90,75,216

Least Common Multiple (LCM) of 90,75,216 is 5400

2	90, 75, 216
3	45, 75, 108
3	15, 25, 36
5	5, 25, 12
	1, 5, 12

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 5 x 12 = 5400

Least Common Multiple of 90,75,216 with GCF Formula

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

We need to calculate greatest common factor of 90,75,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,75,216) = 3

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

GCF(90,75,216) x common factors =3 x 90 = 270

LCM(90,75,216) = ( 90 × 75 × 216 ) / 270

LCM(90,75,216) = 1458000 / 270

LCM(90,75,216) = 5400

∴ Least Common Multiple of 90,75,216 is 5400

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 90, 75, 216

1. What is the LCM of 90, 75, 216?

Answer: LCM of 90, 75, 216 is 5400.

2. What are the Factors of 5400?

Answer: Factors of 5400 are . There are integers that are factors of 5400

3. How to Find the LCM of 90, 75, 216 ?

Least Common Multiple of 90, 75, 216.

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(90, 75, 216) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 = 5400.