Least Common Multiple of 731/56, 305/2676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/56, 305/2676 quickly i.e. 222955/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/56, 305/2676 is 222955/4.

LCM(731/56, 305/2676) = 222955/4

LCM of 731/56, 305/2676

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 731/56,305/2676

Given numbers are 731/56,305/2676

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 731,305

Least Common Multiple of Numerators i.e. LCM of 731,305 is 222955.

GCF of Denominators means GCF of 56,2676 as per the given fractions.

GCF of 56,2676 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,305

LCM of Fractions 731/56,305/2676 is 222955/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 222955

Least Common Multiple of 731,305 with GCF Formula

Least Common Multiple of 731,305 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 731,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,305) = 1

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

GCF(731,305) x common factors =1 x 1 = 1

LCM(731,305) = ( 731 × 305 ) / 1

LCM(731,305) = 222955 / 1

LCM(731,305) = 222955


Lets's calculate GCF of 56,2676

2 56, 2676
2 28, 1338
14, 669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222955/4

Therefore the LCM of Fractions 731/56,305/2676 is 222955/4

Greatest Common Factor of 56,2676 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,2676 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 2676

List of positive integer factors of 2676 that divides 2676 without a remainder.

1,2,3,4,6,12,223,446,669,892,1338,2676

Greatest Common Factor

We found the factors 56,2676 . The biggest common factor number is the GCF number.
So the greatest common factor 56,2676 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 731/56, 305/2676

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 731/56, 305/2676?

Answer: LCM of Numerators as per given numbers 731/56, 305/2676 is

LCM of Numerators i.e. for 731,305 is 222955

GCF of denominators i.e. for 56,2676 is 4.

Thus, LCM of Fractions is 222955/4.Finally, LCM of Fractions for 731/56, 305/2676 is 222955/4.