Least Common Multiple of 91/138, 91/384, 579/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/138, 91/384, 579/639 quickly i.e. 17563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/138, 91/384, 579/639 is 17563.

LCM(91/138, 91/384, 579/639) = 17563

LCM of 91/138, 91/384, 579/639

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 91/138,91/384,579/639

Given numbers are 91/138,91/384,579/639

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 91,91,579

Least Common Multiple of Numerators i.e. LCM of 91,91,579 is 52689.

GCF of Denominators means GCF of 138,384,639 as per the given fractions.

GCF of 138,384,639 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,91,579

LCM of Fractions 91/138,91/384,579/639 is 17563

7 91, 91, 579
13 13, 13, 579
1, 1, 579

∴ So the LCM of the given numbers is 7 x 13 x 1 x 1 x 579 = 52689

Least Common Multiple of 91,91,579 with GCF Formula

Least Common Multiple of 91,91,579 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 91,91,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,91,579) = 1

common factors(in case of two or more numbers have common factors) = 91

GCF(91,91,579) x common factors =1 x 91 = 91

LCM(91,91,579) = ( 91 × 91 × 579 ) / 91

LCM(91,91,579) = 4794699 / 91

LCM(91,91,579) = 52689


Lets's calculate GCF of 138,384,639

3 138, 384, 639
46, 128, 213

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52689/3

Therefore the LCM of Fractions 91/138,91/384,579/639 is 17563

Greatest Common Factor of 138,384,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,384,639 By Matching Biggest Common Factor Method

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 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 138,384,639 . The biggest common factor number is the GCF number.
So the greatest common factor 138,384,639 is 3.


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 91/138, 91/384, 579/639

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 91/138, 91/384, 579/639?

Answer: LCM of Numerators as per given numbers 91/138, 91/384, 579/639 is

LCM of Numerators i.e. for 91,91,579 is 52689

GCF of denominators i.e. for 138,384,639 is 3.

Thus, LCM of Fractions is 17563.Finally, LCM of Fractions for 91/138, 91/384, 579/639 is 17563.