Least Common Multiple of 576/31, 860/2159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/31, 860/2159 quickly i.e. 123840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/31, 860/2159 is 123840.

LCM(576/31, 860/2159) = 123840

LCM of 576/31, 860/2159

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 576/31,860/2159

Given numbers are 576/31,860/2159

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 576,860

Least Common Multiple of Numerators i.e. LCM of 576,860 is 123840.

GCF of Denominators means GCF of 31,2159 as per the given fractions.

GCF of 31,2159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,860

LCM of Fractions 576/31,860/2159 is 123840

2 576, 860
2 288, 430
144, 215

∴ So the LCM of the given numbers is 2 x 2 x 144 x 215 = 123840

Least Common Multiple of 576,860 with GCF Formula

Least Common Multiple of 576,860 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 576,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,860) = 4

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

GCF(576,860) x common factors =4 x 1 = 4

LCM(576,860) = ( 576 × 860 ) / 4

LCM(576,860) = 495360 / 4

LCM(576,860) = 123840


Lets's calculate GCF of 31,2159

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123840/1

Therefore the LCM of Fractions 576/31,860/2159 is 123840

Greatest Common Factor of 31,2159 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,2159 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 2159

List of positive integer factors of 2159 that divides 2159 without a remainder.

1,17,127,2159

Greatest Common Factor

We found the factors 31,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 31,2159 is 1.


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 576/31, 860/2159

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 576/31, 860/2159?

Answer: LCM of Numerators as per given numbers 576/31, 860/2159 is

LCM of Numerators i.e. for 576,860 is 123840

GCF of denominators i.e. for 31,2159 is 1.

Thus, LCM of Fractions is 123840.Finally, LCM of Fractions for 576/31, 860/2159 is 123840.