Least Common Multiple of 91/261, 40/433, 422/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/261, 40/433, 422/973 quickly i.e. 768040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/261, 40/433, 422/973 is 768040.

LCM(91/261, 40/433, 422/973) = 768040

LCM of 91/261, 40/433, 422/973

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 91/261,40/433,422/973

Given numbers are 91/261,40/433,422/973

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 91,40,422

Least Common Multiple of Numerators i.e. LCM of 91,40,422 is 768040.

GCF of Denominators means GCF of 261,433,973 as per the given fractions.

GCF of 261,433,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,40,422

LCM of Fractions 91/261,40/433,422/973 is 768040

2 91, 40, 422
91, 20, 211

∴ So the LCM of the given numbers is 2 x 91 x 20 x 211 = 768040

Least Common Multiple of 91,40,422 with GCF Formula

Least Common Multiple of 91,40,422 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 91,40,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,40,422) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,40,422) x common factors =1 x 2 = 2

LCM(91,40,422) = ( 91 × 40 × 422 ) / 2

LCM(91,40,422) = 1536080 / 2

LCM(91,40,422) = 768040


Lets's calculate GCF of 261,433,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768040/1

Therefore the LCM of Fractions 91/261,40/433,422/973 is 768040

Greatest Common Factor of 261,433,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,433,973 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 261,433,973 . The biggest common factor number is the GCF number.
So the greatest common factor 261,433,973 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 91/261, 40/433, 422/973

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 91/261, 40/433, 422/973?

Answer: LCM of Numerators as per given numbers 91/261, 40/433, 422/973 is

LCM of Numerators i.e. for 91,40,422 is 768040

GCF of denominators i.e. for 261,433,973 is 1.

Thus, LCM of Fractions is 768040.Finally, LCM of Fractions for 91/261, 40/433, 422/973 is 768040.