Least Common Multiple of 504, 600, 210

Q: How to Find the LCM of 504, 600, 210 ?

Least Common Multiple of 504, 600, 210 = 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(504, 600, 210) = 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 504, 600, 210 i.e. 12600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 600, 210 is 12600.

LCM(504, 600, 210) = 12600

LCM of 504, 600, 210

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

Least Common Multiple of 504, 600, 210 by common division method
Least Common Multiple of 504, 600, 210 with GCF Formula

Least Common Multiple of 504,600,210

Least Common Multiple (LCM) of 504,600,210 is 12600

2	504, 600, 210
2	252, 300, 105
2	126, 150, 105
3	63, 75, 105
5	21, 25, 35
7	21, 5, 7
	3, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 3 x 5 x 1 = 12600

Least Common Multiple of 504,600,210 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 504,600,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,600,210) = 6

common factors(in case of two or more numbers have common factors) = 840

GCF(504,600,210) x common factors =6 x 840 = 5040

LCM(504,600,210) = ( 504 × 600 × 210 ) / 5040

LCM(504,600,210) = 63504000 / 5040

LCM(504,600,210) = 12600

∴ Least Common Multiple of 504,600,210 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 504, 600, 210

1. What is the LCM of 504, 600, 210?

Answer: LCM of 504, 600, 210 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 504, 600, 210 ?

Least Common Multiple of 504, 600, 210.

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(504, 600, 210) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 = 12600.