Least Common Multiple of 591/832, 135/797, 961/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/832, 135/797, 961/966 quickly i.e. 25557795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/832, 135/797, 961/966 is 25557795.

LCM(591/832, 135/797, 961/966) = 25557795

LCM of 591/832, 135/797, 961/966

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 591/832,135/797,961/966

Given numbers are 591/832,135/797,961/966

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 591,135,961

Least Common Multiple of Numerators i.e. LCM of 591,135,961 is 25557795.

GCF of Denominators means GCF of 832,797,966 as per the given fractions.

GCF of 832,797,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,135,961

LCM of Fractions 591/832,135/797,961/966 is 25557795

3 591, 135, 961
197, 45, 961

∴ So the LCM of the given numbers is 3 x 197 x 45 x 961 = 25557795

Least Common Multiple of 591,135,961 with GCF Formula

Least Common Multiple of 591,135,961 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 591,135,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,135,961) = 1

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

GCF(591,135,961) x common factors =1 x 3 = 3

LCM(591,135,961) = ( 591 × 135 × 961 ) / 3

LCM(591,135,961) = 76673385 / 3

LCM(591,135,961) = 25557795


Lets's calculate GCF of 832,797,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25557795/1

Therefore the LCM of Fractions 591/832,135/797,961/966 is 25557795

Greatest Common Factor of 832,797,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,797,966 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 832,797,966 . The biggest common factor number is the GCF number.
So the greatest common factor 832,797,966 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 591/832, 135/797, 961/966

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 591/832, 135/797, 961/966?

Answer: LCM of Numerators as per given numbers 591/832, 135/797, 961/966 is

LCM of Numerators i.e. for 591,135,961 is 25557795

GCF of denominators i.e. for 832,797,966 is 1.

Thus, LCM of Fractions is 25557795.Finally, LCM of Fractions for 591/832, 135/797, 961/966 is 25557795.