Least Common Multiple of 78/91, 16/68, 242/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/91, 16/68, 242/20 quickly i.e. 75504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/91, 16/68, 242/20 is 75504.

LCM(78/91, 16/68, 242/20) = 75504

LCM of 78/91, 16/68, 242/20

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 78/91,16/68,242/20

Given numbers are 78/91,16/68,242/20

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 78,16,242

Least Common Multiple of Numerators i.e. LCM of 78,16,242 is 75504.

GCF of Denominators means GCF of 91,68,20 as per the given fractions.

GCF of 91,68,20 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,16,242

LCM of Fractions 78/91,16/68,242/20 is 75504

2 78, 16, 242
39, 8, 121

∴ So the LCM of the given numbers is 2 x 39 x 8 x 121 = 75504

Least Common Multiple of 78,16,242 with GCF Formula

Least Common Multiple of 78,16,242 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 78,16,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,16,242) = 2

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

GCF(78,16,242) x common factors =2 x 2 = 4

LCM(78,16,242) = ( 78 × 16 × 242 ) / 4

LCM(78,16,242) = 302016 / 4

LCM(78,16,242) = 75504


Lets's calculate GCF of 91,68,20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75504/1

Therefore the LCM of Fractions 78/91,16/68,242/20 is 75504

Greatest Common Factor of 91,68,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,68,20 By Matching Biggest Common Factor Method

Factors of 91

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

1,7,13,91

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 20

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

1,2,4,5,10,20

Greatest Common Factor

We found the factors 91,68,20 . The biggest common factor number is the GCF number.
So the greatest common factor 91,68,20 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 78/91, 16/68, 242/20

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 78/91, 16/68, 242/20?

Answer: LCM of Numerators as per given numbers 78/91, 16/68, 242/20 is

LCM of Numerators i.e. for 78,16,242 is 75504

GCF of denominators i.e. for 91,68,20 is 1.

Thus, LCM of Fractions is 75504.Finally, LCM of Fractions for 78/91, 16/68, 242/20 is 75504.