Least Common Multiple of 5708/696, 5976/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5708/696, 5976/778 quickly i.e. 4263876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5708/696, 5976/778 is 4263876.

LCM(5708/696, 5976/778) = 4263876

LCM of 5708/696, 5976/778

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 5708/696,5976/778

Given numbers are 5708/696,5976/778

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 5708,5976

Least Common Multiple of Numerators i.e. LCM of 5708,5976 is 8527752.

GCF of Denominators means GCF of 696,778 as per the given fractions.

GCF of 696,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5708,5976

LCM of Fractions 5708/696,5976/778 is 4263876

2 5708, 5976
2 2854, 2988
1427, 1494

∴ So the LCM of the given numbers is 2 x 2 x 1427 x 1494 = 8527752

Least Common Multiple of 5708,5976 with GCF Formula

Least Common Multiple of 5708,5976 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 5708,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5708,5976) = 4

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

GCF(5708,5976) x common factors =4 x 1 = 4

LCM(5708,5976) = ( 5708 × 5976 ) / 4

LCM(5708,5976) = 34111008 / 4

LCM(5708,5976) = 8527752


Lets's calculate GCF of 696,778

2 696, 778
348, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8527752/2

Therefore the LCM of Fractions 5708/696,5976/778 is 4263876

Greatest Common Factor of 696,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,778 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 696,778 . The biggest common factor number is the GCF number.
So the greatest common factor 696,778 is 2.


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 5708/696, 5976/778

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 5708/696, 5976/778?

Answer: LCM of Numerators as per given numbers 5708/696, 5976/778 is

LCM of Numerators i.e. for 5708,5976 is 8527752

GCF of denominators i.e. for 696,778 is 2.

Thus, LCM of Fractions is 4263876.Finally, LCM of Fractions for 5708/696, 5976/778 is 4263876.