Least Common Multiple of 519/921, 538/466, 297/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/921, 538/466, 297/348 quickly i.e. 27642978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/921, 538/466, 297/348 is 27642978.

LCM(519/921, 538/466, 297/348) = 27642978

LCM of 519/921, 538/466, 297/348

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 519/921,538/466,297/348

Given numbers are 519/921,538/466,297/348

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 519,538,297

Least Common Multiple of Numerators i.e. LCM of 519,538,297 is 27642978.

GCF of Denominators means GCF of 921,466,348 as per the given fractions.

GCF of 921,466,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,538,297

LCM of Fractions 519/921,538/466,297/348 is 27642978

3 519, 538, 297
173, 538, 99

∴ So the LCM of the given numbers is 3 x 173 x 538 x 99 = 27642978

Least Common Multiple of 519,538,297 with GCF Formula

Least Common Multiple of 519,538,297 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 519,538,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,538,297) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(519,538,297) x common factors =1 x 3 = 3

LCM(519,538,297) = ( 519 × 538 × 297 ) / 3

LCM(519,538,297) = 82928934 / 3

LCM(519,538,297) = 27642978


Lets's calculate GCF of 921,466,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27642978/1

Therefore the LCM of Fractions 519/921,538/466,297/348 is 27642978

Greatest Common Factor of 921,466,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,466,348 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 921,466,348 . The biggest common factor number is the GCF number.
So the greatest common factor 921,466,348 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 519/921, 538/466, 297/348

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 519/921, 538/466, 297/348?

Answer: LCM of Numerators as per given numbers 519/921, 538/466, 297/348 is

LCM of Numerators i.e. for 519,538,297 is 27642978

GCF of denominators i.e. for 921,466,348 is 1.

Thus, LCM of Fractions is 27642978.Finally, LCM of Fractions for 519/921, 538/466, 297/348 is 27642978.