Least Common Multiple of 91/113, 57/330, 678/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/113, 57/330, 678/746 quickly i.e. 1172262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/113, 57/330, 678/746 is 1172262.

LCM(91/113, 57/330, 678/746) = 1172262

LCM of 91/113, 57/330, 678/746

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 91/113,57/330,678/746

Given numbers are 91/113,57/330,678/746

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 91,57,678

Least Common Multiple of Numerators i.e. LCM of 91,57,678 is 1172262.

GCF of Denominators means GCF of 113,330,746 as per the given fractions.

GCF of 113,330,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,57,678

LCM of Fractions 91/113,57/330,678/746 is 1172262

3 91, 57, 678
91, 19, 226

∴ So the LCM of the given numbers is 3 x 91 x 19 x 226 = 1172262

Least Common Multiple of 91,57,678 with GCF Formula

Least Common Multiple of 91,57,678 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 91,57,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,57,678) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(91,57,678) x common factors =1 x 3 = 3

LCM(91,57,678) = ( 91 × 57 × 678 ) / 3

LCM(91,57,678) = 3516786 / 3

LCM(91,57,678) = 1172262


Lets's calculate GCF of 113,330,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1172262/1

Therefore the LCM of Fractions 91/113,57/330,678/746 is 1172262

Greatest Common Factor of 113,330,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,330,746 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 113,330,746 . The biggest common factor number is the GCF number.
So the greatest common factor 113,330,746 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 91/113, 57/330, 678/746

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 91/113, 57/330, 678/746?

Answer: LCM of Numerators as per given numbers 91/113, 57/330, 678/746 is

LCM of Numerators i.e. for 91,57,678 is 1172262

GCF of denominators i.e. for 113,330,746 is 1.

Thus, LCM of Fractions is 1172262.Finally, LCM of Fractions for 91/113, 57/330, 678/746 is 1172262.