Least Common Multiple of 300, 270, 375

Q: How to Find the LCM of 300, 270, 375 ?

Least Common Multiple of 300, 270, 375 = 13500 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(300, 270, 375) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 = 13500.

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 300, 270, 375 i.e. 13500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 300, 270, 375 is 13500.

LCM(300, 270, 375) = 13500

LCM of 300, 270, 375

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

Least Common Multiple of 300, 270, 375 by common division method
Least Common Multiple of 300, 270, 375 with GCF Formula

Least Common Multiple of 300,270,375

Least Common Multiple (LCM) of 300,270,375 is 13500

2	300, 270, 375
3	150, 135, 375
5	50, 45, 125
5	10, 9, 25
	2, 9, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 2 x 9 x 5 = 13500

Least Common Multiple of 300,270,375 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 300,270,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,270,375) = 15

common factors(in case of two or more numbers have common factors) = 150

GCF(300,270,375) x common factors =15 x 150 = 2250

LCM(300,270,375) = ( 300 × 270 × 375 ) / 2250

LCM(300,270,375) = 30375000 / 2250

LCM(300,270,375) = 13500

∴ Least Common Multiple of 300,270,375 is 13500

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 300, 270, 375

1. What is the LCM of 300, 270, 375?

Answer: LCM of 300, 270, 375 is 13500.

2. What are the Factors of 13500?

Answer: Factors of 13500 are . There are integers that are factors of 13500

3. How to Find the LCM of 300, 270, 375 ?

Least Common Multiple of 300, 270, 375.

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(300, 270, 375) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 = 13500.