Least Common Multiple of 57/180, 8976/2404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/180, 8976/2404 quickly i.e. 42636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/180, 8976/2404 is 42636.

LCM(57/180, 8976/2404) = 42636

LCM of 57/180, 8976/2404

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 57/180,8976/2404

Given numbers are 57/180,8976/2404

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 57,8976

Least Common Multiple of Numerators i.e. LCM of 57,8976 is 170544.

GCF of Denominators means GCF of 180,2404 as per the given fractions.

GCF of 180,2404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,8976

LCM of Fractions 57/180,8976/2404 is 42636

3 57, 8976
19, 2992

∴ So the LCM of the given numbers is 3 x 19 x 2992 = 170544

Least Common Multiple of 57,8976 with GCF Formula

Least Common Multiple of 57,8976 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 57,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,8976) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(57,8976) x common factors =3 x 1 = 3

LCM(57,8976) = ( 57 × 8976 ) / 3

LCM(57,8976) = 511632 / 3

LCM(57,8976) = 170544


Lets's calculate GCF of 180,2404

2 180, 2404
2 90, 1202
45, 601

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170544/4

Therefore the LCM of Fractions 57/180,8976/2404 is 42636

Greatest Common Factor of 180,2404 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,2404 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1,2,4,601,1202,2404

Greatest Common Factor

We found the factors 180,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 180,2404 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 57/180, 8976/2404

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 57/180, 8976/2404?

Answer: LCM of Numerators as per given numbers 57/180, 8976/2404 is

LCM of Numerators i.e. for 57,8976 is 170544

GCF of denominators i.e. for 180,2404 is 4.

Thus, LCM of Fractions is 42636.Finally, LCM of Fractions for 57/180, 8976/2404 is 42636.