Least Common Multiple of 908/78, 361/20, 403/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/78, 361/20, 403/232 quickly i.e. 66049282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/78, 361/20, 403/232 is 66049282.

LCM(908/78, 361/20, 403/232) = 66049282

LCM of 908/78, 361/20, 403/232

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 908/78,361/20,403/232

Given numbers are 908/78,361/20,403/232

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 908,361,403

Least Common Multiple of Numerators i.e. LCM of 908,361,403 is 132098564.

GCF of Denominators means GCF of 78,20,232 as per the given fractions.

GCF of 78,20,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,361,403

LCM of Fractions 908/78,361/20,403/232 is 66049282

Given numbers has no common factors except 1. So, there LCM is their product i.e 132098564

Least Common Multiple of 908,361,403 with GCF Formula

Least Common Multiple of 908,361,403 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 908,361,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,361,403) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(908,361,403) x common factors =1 x 1 = 1

LCM(908,361,403) = ( 908 × 361 × 403 ) / 1

LCM(908,361,403) = 132098564 / 1

LCM(908,361,403) = 132098564


Lets's calculate GCF of 78,20,232

2 78, 20, 232
39, 10, 116

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132098564/2

Therefore the LCM of Fractions 908/78,361/20,403/232 is 66049282

Greatest Common Factor of 78,20,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,20,232 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 78,20,232 . The biggest common factor number is the GCF number.
So the greatest common factor 78,20,232 is 2.


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 908/78, 361/20, 403/232

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 908/78, 361/20, 403/232?

Answer: LCM of Numerators as per given numbers 908/78, 361/20, 403/232 is

LCM of Numerators i.e. for 908,361,403 is 132098564

GCF of denominators i.e. for 78,20,232 is 2.

Thus, LCM of Fractions is 66049282.Finally, LCM of Fractions for 908/78, 361/20, 403/232 is 66049282.