Least Common Multiple of 504, 600, 561, 467

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, 561, 467 i.e. 1100345400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 600, 561, 467 is 1100345400.

LCM(504, 600, 561, 467) = 1100345400

LCM of 504, 600, 561, 467

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

LCM of:

Least Common Multiple of 504,600,561,467

Least Common Multiple (LCM) of 504,600,561,467 is 1100345400

2 504, 600, 561, 467
2 252, 300, 561, 467
2 126, 150, 561, 467
3 63, 75, 561, 467
21, 25, 187, 467

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 25 x 187 x 467 = 1100345400

Least Common Multiple of 504,600,561,467 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 504,600,561,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,600,561,467) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(504,600,561,467) x common factors =1 x 72 = 72

LCM(504,600,561,467) = ( 504 × 600 × 561 × 467 ) / 72

LCM(504,600,561,467) = 79224868800 / 72

LCM(504,600,561,467) = 1100345400

∴ Least Common Multiple of 504,600,561,467 is 1100345400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 504, 600, 561, 467

1. What is the LCM of 504, 600, 561, 467?

Answer: LCM of 504, 600, 561, 467 is 1100345400.

2. What are the Factors of 1100345400?

Answer: Factors of 1100345400 are . There are integers that are factors of 1100345400

3. How to Find the LCM of 504, 600, 561, 467 ?

Least Common Multiple of 504, 600, 561, 467.

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, 561, 467) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 17 x 467 = 1100345400.