Least Common Multiple of 21, 24, 75, 315

Q: How to Find the LCM of 21, 24, 75, 315 ?

Least Common Multiple of 21, 24, 75, 315 = 12600 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(21, 24, 75, 315) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 = 12600.

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 21, 24, 75, 315 i.e. 12600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 24, 75, 315 is 12600.

LCM(21, 24, 75, 315) = 12600

LCM of 21, 24, 75, 315

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

Least Common Multiple of 21, 24, 75, 315 by common division method
Least Common Multiple of 21, 24, 75, 315 with GCF Formula

Least Common Multiple of 21,24,75,315

Least Common Multiple (LCM) of 21,24,75,315 is 12600

3	21, 24, 75, 315
5	7, 8, 25, 105
7	7, 8, 5, 21
	1, 8, 5, 3

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 8 x 5 x 3 = 12600

Least Common Multiple of 21,24,75,315 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 21,24,75,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,24,75,315) = 3

common factors(in case of two or more numbers have common factors) = 315

GCF(21,24,75,315) x common factors =3 x 315 = 945

LCM(21,24,75,315) = ( 21 × 24 × 75 × 315 ) / 945

LCM(21,24,75,315) = 11907000 / 945

LCM(21,24,75,315) = 12600

∴ Least Common Multiple of 21,24,75,315 is 12600

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 21, 24, 75, 315

1. What is the LCM of 21, 24, 75, 315?

Answer: LCM of 21, 24, 75, 315 is 12600.

2. What are the Factors of 12600?

Answer: Factors of 12600 are . There are integers that are factors of 12600

3. How to Find the LCM of 21, 24, 75, 315 ?

Least Common Multiple of 21, 24, 75, 315.

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(21, 24, 75, 315) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 = 12600.