Least Common Multiple of 208/65, 979/91, 748/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/65, 979/91, 748/52 quickly i.e. 266288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/65, 979/91, 748/52 is 266288.

LCM(208/65, 979/91, 748/52) = 266288

LCM of 208/65, 979/91, 748/52

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 208/65,979/91,748/52

Given numbers are 208/65,979/91,748/52

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 208,979,748

Least Common Multiple of Numerators i.e. LCM of 208,979,748 is 3461744.

GCF of Denominators means GCF of 65,91,52 as per the given fractions.

GCF of 65,91,52 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,979,748

LCM of Fractions 208/65,979/91,748/52 is 266288

2 208, 979, 748
2 104, 979, 374
11 52, 979, 187
52, 89, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 52 x 89 x 17 = 3461744

Least Common Multiple of 208,979,748 with GCF Formula

Least Common Multiple of 208,979,748 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 208,979,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,979,748) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(208,979,748) x common factors =1 x 44 = 44

LCM(208,979,748) = ( 208 × 979 × 748 ) / 44

LCM(208,979,748) = 152316736 / 44

LCM(208,979,748) = 3461744


Lets's calculate GCF of 65,91,52

13 65, 91, 52
5, 7, 4

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3461744/13

Therefore the LCM of Fractions 208/65,979/91,748/52 is 266288

Greatest Common Factor of 65,91,52 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,91,52 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Greatest Common Factor

We found the factors 65,91,52 . The biggest common factor number is the GCF number.
So the greatest common factor 65,91,52 is 13.


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 208/65, 979/91, 748/52

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 208/65, 979/91, 748/52?

Answer: LCM of Numerators as per given numbers 208/65, 979/91, 748/52 is

LCM of Numerators i.e. for 208,979,748 is 3461744

GCF of denominators i.e. for 65,91,52 is 13.

Thus, LCM of Fractions is 266288.Finally, LCM of Fractions for 208/65, 979/91, 748/52 is 266288.