Least Common Multiple of 32/592, 24/979, 347/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/592, 24/979, 347/864 quickly i.e. 33312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/592, 24/979, 347/864 is 33312.

LCM(32/592, 24/979, 347/864) = 33312

LCM of 32/592, 24/979, 347/864

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 32/592,24/979,347/864

Given numbers are 32/592,24/979,347/864

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 32,24,347

Least Common Multiple of Numerators i.e. LCM of 32,24,347 is 33312.

GCF of Denominators means GCF of 592,979,864 as per the given fractions.

GCF of 592,979,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,24,347

LCM of Fractions 32/592,24/979,347/864 is 33312

2 32, 24, 347
2 16, 12, 347
2 8, 6, 347
4, 3, 347

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 3 x 347 = 33312

Least Common Multiple of 32,24,347 with GCF Formula

Least Common Multiple of 32,24,347 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 32,24,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,24,347) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,24,347) x common factors =1 x 8 = 8

LCM(32,24,347) = ( 32 × 24 × 347 ) / 8

LCM(32,24,347) = 266496 / 8

LCM(32,24,347) = 33312


Lets's calculate GCF of 592,979,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33312/1

Therefore the LCM of Fractions 32/592,24/979,347/864 is 33312

Greatest Common Factor of 592,979,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,979,864 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 592,979,864 . The biggest common factor number is the GCF number.
So the greatest common factor 592,979,864 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 32/592, 24/979, 347/864

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 32/592, 24/979, 347/864?

Answer: LCM of Numerators as per given numbers 32/592, 24/979, 347/864 is

LCM of Numerators i.e. for 32,24,347 is 33312

GCF of denominators i.e. for 592,979,864 is 1.

Thus, LCM of Fractions is 33312.Finally, LCM of Fractions for 32/592, 24/979, 347/864 is 33312.