Least Common Multiple of 6932/583, 2991/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6932/583, 2991/976 quickly i.e. 20733612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6932/583, 2991/976 is 20733612.

LCM(6932/583, 2991/976) = 20733612

LCM of 6932/583, 2991/976

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 6932/583,2991/976

Given numbers are 6932/583,2991/976

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 6932,2991

Least Common Multiple of Numerators i.e. LCM of 6932,2991 is 20733612.

GCF of Denominators means GCF of 583,976 as per the given fractions.

GCF of 583,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6932,2991

LCM of Fractions 6932/583,2991/976 is 20733612

Given numbers has no common factors except 1. So, there LCM is their product i.e 20733612

Least Common Multiple of 6932,2991 with GCF Formula

Least Common Multiple of 6932,2991 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 6932,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6932,2991) = 1

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

GCF(6932,2991) x common factors =1 x 1 = 1

LCM(6932,2991) = ( 6932 × 2991 ) / 1

LCM(6932,2991) = 20733612 / 1

LCM(6932,2991) = 20733612


Lets's calculate GCF of 583,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20733612/1

Therefore the LCM of Fractions 6932/583,2991/976 is 20733612

Greatest Common Factor of 583,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,976 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 583,976 . The biggest common factor number is the GCF number.
So the greatest common factor 583,976 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 6932/583, 2991/976

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 6932/583, 2991/976?

Answer: LCM of Numerators as per given numbers 6932/583, 2991/976 is

LCM of Numerators i.e. for 6932,2991 is 20733612

GCF of denominators i.e. for 583,976 is 1.

Thus, LCM of Fractions is 20733612.Finally, LCM of Fractions for 6932/583, 2991/976 is 20733612.