Least Common Multiple of 54/687, 42/634, 968/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/687, 42/634, 968/303 quickly i.e. 182952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/687, 42/634, 968/303 is 182952.

LCM(54/687, 42/634, 968/303) = 182952

LCM of 54/687, 42/634, 968/303

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 54/687,42/634,968/303

Given numbers are 54/687,42/634,968/303

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 54,42,968

Least Common Multiple of Numerators i.e. LCM of 54,42,968 is 182952.

GCF of Denominators means GCF of 687,634,303 as per the given fractions.

GCF of 687,634,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,42,968

LCM of Fractions 54/687,42/634,968/303 is 182952

2 54, 42, 968
3 27, 21, 484
9, 7, 484

∴ So the LCM of the given numbers is 2 x 3 x 9 x 7 x 484 = 182952

Least Common Multiple of 54,42,968 with GCF Formula

Least Common Multiple of 54,42,968 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 54,42,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,42,968) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(54,42,968) x common factors =2 x 6 = 12

LCM(54,42,968) = ( 54 × 42 × 968 ) / 12

LCM(54,42,968) = 2195424 / 12

LCM(54,42,968) = 182952


Lets's calculate GCF of 687,634,303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182952/1

Therefore the LCM of Fractions 54/687,42/634,968/303 is 182952

Greatest Common Factor of 687,634,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,634,303 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 687,634,303 . The biggest common factor number is the GCF number.
So the greatest common factor 687,634,303 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 54/687, 42/634, 968/303

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 54/687, 42/634, 968/303?

Answer: LCM of Numerators as per given numbers 54/687, 42/634, 968/303 is

LCM of Numerators i.e. for 54,42,968 is 182952

GCF of denominators i.e. for 687,634,303 is 1.

Thus, LCM of Fractions is 182952.Finally, LCM of Fractions for 54/687, 42/634, 968/303 is 182952.