Least Common Multiple of 78/68, 52/95, 54/97, 19/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/68, 52/95, 54/97, 19/275 quickly i.e. 26676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/68, 52/95, 54/97, 19/275 is 26676.

LCM(78/68, 52/95, 54/97, 19/275) = 26676

LCM of 78/68, 52/95, 54/97, 19/275

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 78/68,52/95,54/97,19/275

Given numbers are 78/68,52/95,54/97,19/275

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 78,52,54,19

Least Common Multiple of Numerators i.e. LCM of 78,52,54,19 is 26676.

GCF of Denominators means GCF of 68,95,97,275 as per the given fractions.

GCF of 68,95,97,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,52,54,19

LCM of Fractions 78/68,52/95,54/97,19/275 is 26676

2 78, 52, 54, 19
3 39, 26, 27, 19
13 13, 26, 9, 19
1, 2, 9, 19

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 2 x 9 x 19 = 26676

Least Common Multiple of 78,52,54,19 with GCF Formula

Least Common Multiple of 78,52,54,19 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 78,52,54,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,52,54,19) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(78,52,54,19) x common factors =1 x 156 = 156

LCM(78,52,54,19) = ( 78 × 52 × 54 × 19 ) / 156

LCM(78,52,54,19) = 4161456 / 156

LCM(78,52,54,19) = 26676


Lets's calculate GCF of 68,95,97,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26676/1

Therefore the LCM of Fractions 78/68,52/95,54/97,19/275 is 26676

Greatest Common Factor of 68,95,97,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,95,97,275 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 68,95,97,275 . The biggest common factor number is the GCF number.
So the greatest common factor 68,95,97,275 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 78/68, 52/95, 54/97, 19/275

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 78/68, 52/95, 54/97, 19/275?

Answer: LCM of Numerators as per given numbers 78/68, 52/95, 54/97, 19/275 is

LCM of Numerators i.e. for 78,52,54,19 is 26676

GCF of denominators i.e. for 68,95,97,275 is 1.

Thus, LCM of Fractions is 26676.Finally, LCM of Fractions for 78/68, 52/95, 54/97, 19/275 is 26676.