Least Common Multiple of 931/78, 111/23, 777/26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/78, 111/23, 777/26 quickly i.e. 103341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/78, 111/23, 777/26 is 103341.

LCM(931/78, 111/23, 777/26) = 103341

LCM of 931/78, 111/23, 777/26

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 931/78,111/23,777/26

Given numbers are 931/78,111/23,777/26

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 931,111,777

Least Common Multiple of Numerators i.e. LCM of 931,111,777 is 103341.

GCF of Denominators means GCF of 78,23,26 as per the given fractions.

GCF of 78,23,26 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,111,777

LCM of Fractions 931/78,111/23,777/26 is 103341

3 931, 111, 777
7 931, 37, 259
37 133, 37, 37
133, 1, 1

∴ So the LCM of the given numbers is 3 x 7 x 37 x 133 x 1 x 1 = 103341

Least Common Multiple of 931,111,777 with GCF Formula

Least Common Multiple of 931,111,777 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 931,111,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,111,777) = 1

common factors(in case of two or more numbers have common factors) = 777

GCF(931,111,777) x common factors =1 x 777 = 777

LCM(931,111,777) = ( 931 × 111 × 777 ) / 777

LCM(931,111,777) = 80295957 / 777

LCM(931,111,777) = 103341


Lets's calculate GCF of 78,23,26

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103341/1

Therefore the LCM of Fractions 931/78,111/23,777/26 is 103341

Greatest Common Factor of 78,23,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,23,26 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors 78,23,26 . The biggest common factor number is the GCF number.
So the greatest common factor 78,23,26 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 931/78, 111/23, 777/26

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 931/78, 111/23, 777/26?

Answer: LCM of Numerators as per given numbers 931/78, 111/23, 777/26 is

LCM of Numerators i.e. for 931,111,777 is 103341

GCF of denominators i.e. for 78,23,26 is 1.

Thus, LCM of Fractions is 103341.Finally, LCM of Fractions for 931/78, 111/23, 777/26 is 103341.