Least Common Multiple of 53/779, 924/138, 539/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/779, 924/138, 539/289 quickly i.e. 342804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/779, 924/138, 539/289 is 342804.

LCM(53/779, 924/138, 539/289) = 342804

LCM of 53/779, 924/138, 539/289

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 53/779,924/138,539/289

Given numbers are 53/779,924/138,539/289

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 53,924,539

Least Common Multiple of Numerators i.e. LCM of 53,924,539 is 342804.

GCF of Denominators means GCF of 779,138,289 as per the given fractions.

GCF of 779,138,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,924,539

LCM of Fractions 53/779,924/138,539/289 is 342804

7 53, 924, 539
11 53, 132, 77
53, 12, 7

∴ So the LCM of the given numbers is 7 x 11 x 53 x 12 x 7 = 342804

Least Common Multiple of 53,924,539 with GCF Formula

Least Common Multiple of 53,924,539 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 53,924,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,924,539) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(53,924,539) x common factors =1 x 77 = 77

LCM(53,924,539) = ( 53 × 924 × 539 ) / 77

LCM(53,924,539) = 26395908 / 77

LCM(53,924,539) = 342804


Lets's calculate GCF of 779,138,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342804/1

Therefore the LCM of Fractions 53/779,924/138,539/289 is 342804

Greatest Common Factor of 779,138,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,138,289 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 779,138,289 . The biggest common factor number is the GCF number.
So the greatest common factor 779,138,289 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/779, 924/138, 539/289

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 53/779, 924/138, 539/289?

Answer: LCM of Numerators as per given numbers 53/779, 924/138, 539/289 is

LCM of Numerators i.e. for 53,924,539 is 342804

GCF of denominators i.e. for 779,138,289 is 1.

Thus, LCM of Fractions is 342804.Finally, LCM of Fractions for 53/779, 924/138, 539/289 is 342804.