Least Common Multiple of 500, 210, 315

Q: How to Find the LCM of 500, 210, 315 ?

Least Common Multiple of 500, 210, 315 = 31500 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(500, 210, 315) = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 = 31500.

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 500, 210, 315 i.e. 31500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 500, 210, 315 is 31500.

LCM(500, 210, 315) = 31500

LCM of 500, 210, 315

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

Least Common Multiple of 500, 210, 315 by common division method
Least Common Multiple of 500, 210, 315 with GCF Formula

Least Common Multiple of 500,210,315

Least Common Multiple (LCM) of 500,210,315 is 31500

2	500, 210, 315
3	250, 105, 315
5	250, 35, 105
7	50, 7, 21
	50, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 50 x 1 x 3 = 31500

Least Common Multiple of 500,210,315 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 500,210,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,210,315) = 5

common factors(in case of two or more numbers have common factors) = 210

GCF(500,210,315) x common factors =5 x 210 = 1050

LCM(500,210,315) = ( 500 × 210 × 315 ) / 1050

LCM(500,210,315) = 33075000 / 1050

LCM(500,210,315) = 31500

∴ Least Common Multiple of 500,210,315 is 31500

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 500, 210, 315

1. What is the LCM of 500, 210, 315?

Answer: LCM of 500, 210, 315 is 31500.

2. What are the Factors of 31500?

Answer: Factors of 31500 are . There are integers that are factors of 31500

3. How to Find the LCM of 500, 210, 315 ?

Least Common Multiple of 500, 210, 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(500, 210, 315) = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 = 31500.