Least Common Multiple of 96/584, 39/283, 832/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/584, 39/283, 832/917 quickly i.e. 2496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/584, 39/283, 832/917 is 2496.

LCM(96/584, 39/283, 832/917) = 2496

LCM of 96/584, 39/283, 832/917

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 96/584,39/283,832/917

Given numbers are 96/584,39/283,832/917

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 96,39,832

Least Common Multiple of Numerators i.e. LCM of 96,39,832 is 2496.

GCF of Denominators means GCF of 584,283,917 as per the given fractions.

GCF of 584,283,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,39,832

LCM of Fractions 96/584,39/283,832/917 is 2496

2 96, 39, 832
2 48, 39, 416
2 24, 39, 208
2 12, 39, 104
2 6, 39, 52
3 3, 39, 26
13 1, 13, 26
1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 13 x 1 x 1 x 2 = 2496

Least Common Multiple of 96,39,832 with GCF Formula

Least Common Multiple of 96,39,832 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 96,39,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,39,832) = 1

common factors(in case of two or more numbers have common factors) = 1248

GCF(96,39,832) x common factors =1 x 1248 = 1248

LCM(96,39,832) = ( 96 × 39 × 832 ) / 1248

LCM(96,39,832) = 3115008 / 1248

LCM(96,39,832) = 2496


Lets's calculate GCF of 584,283,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2496/1

Therefore the LCM of Fractions 96/584,39/283,832/917 is 2496

Greatest Common Factor of 584,283,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,283,917 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 584,283,917 . The biggest common factor number is the GCF number.
So the greatest common factor 584,283,917 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 96/584, 39/283, 832/917

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 96/584, 39/283, 832/917?

Answer: LCM of Numerators as per given numbers 96/584, 39/283, 832/917 is

LCM of Numerators i.e. for 96,39,832 is 2496

GCF of denominators i.e. for 584,283,917 is 1.

Thus, LCM of Fractions is 2496.Finally, LCM of Fractions for 96/584, 39/283, 832/917 is 2496.