Least Common Multiple of 596/965, 241/489, 932/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/965, 241/489, 932/854 quickly i.e. 33467188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/965, 241/489, 932/854 is 33467188.

LCM(596/965, 241/489, 932/854) = 33467188

LCM of 596/965, 241/489, 932/854

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 596/965,241/489,932/854

Given numbers are 596/965,241/489,932/854

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 596,241,932

Least Common Multiple of Numerators i.e. LCM of 596,241,932 is 33467188.

GCF of Denominators means GCF of 965,489,854 as per the given fractions.

GCF of 965,489,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,241,932

LCM of Fractions 596/965,241/489,932/854 is 33467188

2 596, 241, 932
2 298, 241, 466
149, 241, 233

∴ So the LCM of the given numbers is 2 x 2 x 149 x 241 x 233 = 33467188

Least Common Multiple of 596,241,932 with GCF Formula

Least Common Multiple of 596,241,932 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 596,241,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,241,932) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(596,241,932) x common factors =1 x 4 = 4

LCM(596,241,932) = ( 596 × 241 × 932 ) / 4

LCM(596,241,932) = 133868752 / 4

LCM(596,241,932) = 33467188


Lets's calculate GCF of 965,489,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33467188/1

Therefore the LCM of Fractions 596/965,241/489,932/854 is 33467188

Greatest Common Factor of 965,489,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,489,854 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 965,489,854 . The biggest common factor number is the GCF number.
So the greatest common factor 965,489,854 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 596/965, 241/489, 932/854

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 596/965, 241/489, 932/854?

Answer: LCM of Numerators as per given numbers 596/965, 241/489, 932/854 is

LCM of Numerators i.e. for 596,241,932 is 33467188

GCF of denominators i.e. for 965,489,854 is 1.

Thus, LCM of Fractions is 33467188.Finally, LCM of Fractions for 596/965, 241/489, 932/854 is 33467188.