Least Common Multiple of 77/91, 542/71, 968/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/91, 542/71, 968/714 quickly i.e. 1836296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/91, 542/71, 968/714 is 1836296.

LCM(77/91, 542/71, 968/714) = 1836296

LCM of 77/91, 542/71, 968/714

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 77/91,542/71,968/714

Given numbers are 77/91,542/71,968/714

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 77,542,968

Least Common Multiple of Numerators i.e. LCM of 77,542,968 is 1836296.

GCF of Denominators means GCF of 91,71,714 as per the given fractions.

GCF of 91,71,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,542,968

LCM of Fractions 77/91,542/71,968/714 is 1836296

2 77, 542, 968
11 77, 271, 484
7, 271, 44

∴ So the LCM of the given numbers is 2 x 11 x 7 x 271 x 44 = 1836296

Least Common Multiple of 77,542,968 with GCF Formula

Least Common Multiple of 77,542,968 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 77,542,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,542,968) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,542,968) x common factors =1 x 22 = 22

LCM(77,542,968) = ( 77 × 542 × 968 ) / 22

LCM(77,542,968) = 40398512 / 22

LCM(77,542,968) = 1836296


Lets's calculate GCF of 91,71,714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1836296/1

Therefore the LCM of Fractions 77/91,542/71,968/714 is 1836296

Greatest Common Factor of 91,71,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,71,714 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 91,71,714 . The biggest common factor number is the GCF number.
So the greatest common factor 91,71,714 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 77/91, 542/71, 968/714

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 77/91, 542/71, 968/714?

Answer: LCM of Numerators as per given numbers 77/91, 542/71, 968/714 is

LCM of Numerators i.e. for 77,542,968 is 1836296

GCF of denominators i.e. for 91,71,714 is 1.

Thus, LCM of Fractions is 1836296.Finally, LCM of Fractions for 77/91, 542/71, 968/714 is 1836296.