Least Common Multiple of 71/938, 292/541, 338/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/938, 292/541, 338/492 quickly i.e. 3503708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/938, 292/541, 338/492 is 3503708.

LCM(71/938, 292/541, 338/492) = 3503708

LCM of 71/938, 292/541, 338/492

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 71/938,292/541,338/492

Given numbers are 71/938,292/541,338/492

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 71,292,338

Least Common Multiple of Numerators i.e. LCM of 71,292,338 is 3503708.

GCF of Denominators means GCF of 938,541,492 as per the given fractions.

GCF of 938,541,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,292,338

LCM of Fractions 71/938,292/541,338/492 is 3503708

2 71, 292, 338
71, 146, 169

∴ So the LCM of the given numbers is 2 x 71 x 146 x 169 = 3503708

Least Common Multiple of 71,292,338 with GCF Formula

Least Common Multiple of 71,292,338 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 71,292,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,292,338) = 1

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

GCF(71,292,338) x common factors =1 x 2 = 2

LCM(71,292,338) = ( 71 × 292 × 338 ) / 2

LCM(71,292,338) = 7007416 / 2

LCM(71,292,338) = 3503708


Lets's calculate GCF of 938,541,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3503708/1

Therefore the LCM of Fractions 71/938,292/541,338/492 is 3503708

Greatest Common Factor of 938,541,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,541,492 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 938,541,492 . The biggest common factor number is the GCF number.
So the greatest common factor 938,541,492 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 71/938, 292/541, 338/492

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 71/938, 292/541, 338/492?

Answer: LCM of Numerators as per given numbers 71/938, 292/541, 338/492 is

LCM of Numerators i.e. for 71,292,338 is 3503708

GCF of denominators i.e. for 938,541,492 is 1.

Thus, LCM of Fractions is 3503708.Finally, LCM of Fractions for 71/938, 292/541, 338/492 is 3503708.