Least Common Multiple of 6/78, 5/57, 84/25, 26/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/78, 5/57, 84/25, 26/955 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/78, 5/57, 84/25, 26/955 is 5460.

LCM(6/78, 5/57, 84/25, 26/955) = 5460

LCM of 6/78, 5/57, 84/25, 26/955

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 6/78,5/57,84/25,26/955

Given numbers are 6/78,5/57,84/25,26/955

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 6,5,84,26

Least Common Multiple of Numerators i.e. LCM of 6,5,84,26 is 5460.

GCF of Denominators means GCF of 78,57,25,955 as per the given fractions.

GCF of 78,57,25,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,5,84,26

LCM of Fractions 6/78,5/57,84/25,26/955 is 5460

2 6, 5, 84, 26
3 3, 5, 42, 13
1, 5, 14, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 5 x 14 x 13 = 5460

Least Common Multiple of 6,5,84,26 with GCF Formula

Least Common Multiple of 6,5,84,26 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 6,5,84,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,5,84,26) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(6,5,84,26) x common factors =1 x 12 = 12

LCM(6,5,84,26) = ( 6 × 5 × 84 × 26 ) / 12

LCM(6,5,84,26) = 65520 / 12

LCM(6,5,84,26) = 5460


Lets's calculate GCF of 78,57,25,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/1

Therefore the LCM of Fractions 6/78,5/57,84/25,26/955 is 5460

Greatest Common Factor of 78,57,25,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,57,25,955 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 78,57,25,955 . The biggest common factor number is the GCF number.
So the greatest common factor 78,57,25,955 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 6/78, 5/57, 84/25, 26/955

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 6/78, 5/57, 84/25, 26/955?

Answer: LCM of Numerators as per given numbers 6/78, 5/57, 84/25, 26/955 is

LCM of Numerators i.e. for 6,5,84,26 is 5460

GCF of denominators i.e. for 78,57,25,955 is 1.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 6/78, 5/57, 84/25, 26/955 is 5460.