Least Common Multiple of 31/78, 322/41, 913/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/78, 322/41, 913/942 quickly i.e. 9113566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/78, 322/41, 913/942 is 9113566.

LCM(31/78, 322/41, 913/942) = 9113566

LCM of 31/78, 322/41, 913/942

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 31/78,322/41,913/942

Given numbers are 31/78,322/41,913/942

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 31,322,913

Least Common Multiple of Numerators i.e. LCM of 31,322,913 is 9113566.

GCF of Denominators means GCF of 78,41,942 as per the given fractions.

GCF of 78,41,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,322,913

LCM of Fractions 31/78,322/41,913/942 is 9113566

Given numbers has no common factors except 1. So, there LCM is their product i.e 9113566

Least Common Multiple of 31,322,913 with GCF Formula

Least Common Multiple of 31,322,913 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 31,322,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,322,913) = 1

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

GCF(31,322,913) x common factors =1 x 1 = 1

LCM(31,322,913) = ( 31 × 322 × 913 ) / 1

LCM(31,322,913) = 9113566 / 1

LCM(31,322,913) = 9113566


Lets's calculate GCF of 78,41,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9113566/1

Therefore the LCM of Fractions 31/78,322/41,913/942 is 9113566

Greatest Common Factor of 78,41,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,41,942 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 78,41,942 . The biggest common factor number is the GCF number.
So the greatest common factor 78,41,942 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 31/78, 322/41, 913/942

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 31/78, 322/41, 913/942?

Answer: LCM of Numerators as per given numbers 31/78, 322/41, 913/942 is

LCM of Numerators i.e. for 31,322,913 is 9113566

GCF of denominators i.e. for 78,41,942 is 1.

Thus, LCM of Fractions is 9113566.Finally, LCM of Fractions for 31/78, 322/41, 913/942 is 9113566.