Least Common Multiple of 91/419, 20/856, 749/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/419, 20/856, 749/945 quickly i.e. 194740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/419, 20/856, 749/945 is 194740.

LCM(91/419, 20/856, 749/945) = 194740

LCM of 91/419, 20/856, 749/945

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 91/419,20/856,749/945

Given numbers are 91/419,20/856,749/945

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 91,20,749

Least Common Multiple of Numerators i.e. LCM of 91,20,749 is 194740.

GCF of Denominators means GCF of 419,856,945 as per the given fractions.

GCF of 419,856,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,20,749

LCM of Fractions 91/419,20/856,749/945 is 194740

7 91, 20, 749
13, 20, 107

∴ So the LCM of the given numbers is 7 x 13 x 20 x 107 = 194740

Least Common Multiple of 91,20,749 with GCF Formula

Least Common Multiple of 91,20,749 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 91,20,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,20,749) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,20,749) x common factors =1 x 7 = 7

LCM(91,20,749) = ( 91 × 20 × 749 ) / 7

LCM(91,20,749) = 1363180 / 7

LCM(91,20,749) = 194740


Lets's calculate GCF of 419,856,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194740/1

Therefore the LCM of Fractions 91/419,20/856,749/945 is 194740

Greatest Common Factor of 419,856,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 419,856,945 By Matching Biggest Common Factor Method

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 419,856,945 . The biggest common factor number is the GCF number.
So the greatest common factor 419,856,945 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 91/419, 20/856, 749/945

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 91/419, 20/856, 749/945?

Answer: LCM of Numerators as per given numbers 91/419, 20/856, 749/945 is

LCM of Numerators i.e. for 91,20,749 is 194740

GCF of denominators i.e. for 419,856,945 is 1.

Thus, LCM of Fractions is 194740.Finally, LCM of Fractions for 91/419, 20/856, 749/945 is 194740.