Least Common Multiple of 5731/848, 5976/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5731/848, 5976/712 quickly i.e. 4281057 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5731/848, 5976/712 is 4281057.

LCM(5731/848, 5976/712) = 4281057

LCM of 5731/848, 5976/712

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 5731/848,5976/712

Given numbers are 5731/848,5976/712

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 5731,5976

Least Common Multiple of Numerators i.e. LCM of 5731,5976 is 34248456.

GCF of Denominators means GCF of 848,712 as per the given fractions.

GCF of 848,712 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5731,5976

LCM of Fractions 5731/848,5976/712 is 4281057

Given numbers has no common factors except 1. So, there LCM is their product i.e 34248456

Least Common Multiple of 5731,5976 with GCF Formula

Least Common Multiple of 5731,5976 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 5731,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5731,5976) = 1

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

GCF(5731,5976) x common factors =1 x 1 = 1

LCM(5731,5976) = ( 5731 × 5976 ) / 1

LCM(5731,5976) = 34248456 / 1

LCM(5731,5976) = 34248456


Lets's calculate GCF of 848,712

2 848, 712
2 424, 356
2 212, 178
106, 89

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34248456/8

Therefore the LCM of Fractions 5731/848,5976/712 is 4281057

Greatest Common Factor of 848,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,712 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 848,712 . The biggest common factor number is the GCF number.
So the greatest common factor 848,712 is 8.


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 5731/848, 5976/712

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 5731/848, 5976/712?

Answer: LCM of Numerators as per given numbers 5731/848, 5976/712 is

LCM of Numerators i.e. for 5731,5976 is 34248456

GCF of denominators i.e. for 848,712 is 8.

Thus, LCM of Fractions is 4281057.Finally, LCM of Fractions for 5731/848, 5976/712 is 4281057.