Least Common Multiple of 561, 225, 488, 575

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 561, 225, 488, 575 i.e. 472249800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 561, 225, 488, 575 is 472249800.

LCM(561, 225, 488, 575) = 472249800

LCM of 561, 225, 488, 575

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

LCM of:

Least Common Multiple of 561,225,488,575

Least Common Multiple (LCM) of 561,225,488,575 is 472249800

3 561, 225, 488, 575
5 187, 75, 488, 575
5 187, 15, 488, 115
187, 3, 488, 23

∴ So the LCM of the given numbers is 3 x 5 x 5 x 187 x 3 x 488 x 23 = 472249800

Least Common Multiple of 561,225,488,575 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 561,225,488,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,225,488,575) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(561,225,488,575) x common factors =1 x 75 = 75

LCM(561,225,488,575) = ( 561 × 225 × 488 × 575 ) / 75

LCM(561,225,488,575) = 35418735000 / 75

LCM(561,225,488,575) = 472249800

∴ Least Common Multiple of 561,225,488,575 is 472249800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 561, 225, 488, 575

1. What is the LCM of 561, 225, 488, 575?

Answer: LCM of 561, 225, 488, 575 is 472249800.

2. What are the Factors of 472249800?

Answer: Factors of 472249800 are . There are integers that are factors of 472249800

3. How to Find the LCM of 561, 225, 488, 575 ?

Least Common Multiple of 561, 225, 488, 575.

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(561, 225, 488, 575) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 17 x 23 x 61 = 472249800.