Least Common Multiple of 54/827, 749/130, 488/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/827, 749/130, 488/676 quickly i.e. 9868824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/827, 749/130, 488/676 is 9868824.

LCM(54/827, 749/130, 488/676) = 9868824

LCM of 54/827, 749/130, 488/676

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 54/827,749/130,488/676

Given numbers are 54/827,749/130,488/676

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 54,749,488

Least Common Multiple of Numerators i.e. LCM of 54,749,488 is 9868824.

GCF of Denominators means GCF of 827,130,676 as per the given fractions.

GCF of 827,130,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,749,488

LCM of Fractions 54/827,749/130,488/676 is 9868824

2 54, 749, 488
27, 749, 244

∴ So the LCM of the given numbers is 2 x 27 x 749 x 244 = 9868824

Least Common Multiple of 54,749,488 with GCF Formula

Least Common Multiple of 54,749,488 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 54,749,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,749,488) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,749,488) x common factors =1 x 2 = 2

LCM(54,749,488) = ( 54 × 749 × 488 ) / 2

LCM(54,749,488) = 19737648 / 2

LCM(54,749,488) = 9868824


Lets's calculate GCF of 827,130,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9868824/1

Therefore the LCM of Fractions 54/827,749/130,488/676 is 9868824

Greatest Common Factor of 827,130,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,130,676 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 827,130,676 . The biggest common factor number is the GCF number.
So the greatest common factor 827,130,676 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 54/827, 749/130, 488/676

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 54/827, 749/130, 488/676?

Answer: LCM of Numerators as per given numbers 54/827, 749/130, 488/676 is

LCM of Numerators i.e. for 54,749,488 is 9868824

GCF of denominators i.e. for 827,130,676 is 1.

Thus, LCM of Fractions is 9868824.Finally, LCM of Fractions for 54/827, 749/130, 488/676 is 9868824.