Least Common Multiple of 240, 741, 975

Q: How to Find the LCM of 240, 741, 975 ?

Least Common Multiple of 240, 741, 975 = 296400 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(240, 741, 975) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 19 = 296400.

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 240, 741, 975 i.e. 296400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 240, 741, 975 is 296400.

LCM(240, 741, 975) = 296400

LCM of 240, 741, 975

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

Least Common Multiple of 240, 741, 975 by common division method
Least Common Multiple of 240, 741, 975 with GCF Formula

Least Common Multiple of 240,741,975

Least Common Multiple (LCM) of 240,741,975 is 296400

3	240, 741, 975
5	80, 247, 325
13	16, 247, 65
	16, 19, 5

∴ So the LCM of the given numbers is 3 x 5 x 13 x 16 x 19 x 5 = 296400

Least Common Multiple of 240,741,975 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 240,741,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,741,975) = 3

common factors(in case of two or more numbers have common factors) = 195

GCF(240,741,975) x common factors =3 x 195 = 585

LCM(240,741,975) = ( 240 × 741 × 975 ) / 585

LCM(240,741,975) = 173394000 / 585

LCM(240,741,975) = 296400

∴ Least Common Multiple of 240,741,975 is 296400

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 240, 741, 975

1. What is the LCM of 240, 741, 975?

Answer: LCM of 240, 741, 975 is 296400.

2. What are the Factors of 296400?

Answer: Factors of 296400 are . There are integers that are factors of 296400

3. How to Find the LCM of 240, 741, 975 ?

Least Common Multiple of 240, 741, 975.

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(240, 741, 975) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 19 = 296400.