Least Common Multiple of 32/64, 79/23, 43/29, 56/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/64, 79/23, 43/29, 56/848 quickly i.e. 760928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/64, 79/23, 43/29, 56/848 is 760928.

LCM(32/64, 79/23, 43/29, 56/848) = 760928

LCM of 32/64, 79/23, 43/29, 56/848

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 32/64,79/23,43/29,56/848

Given numbers are 32/64,79/23,43/29,56/848

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 32,79,43,56

Least Common Multiple of Numerators i.e. LCM of 32,79,43,56 is 760928.

GCF of Denominators means GCF of 64,23,29,848 as per the given fractions.

GCF of 64,23,29,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,79,43,56

LCM of Fractions 32/64,79/23,43/29,56/848 is 760928

2 32, 79, 43, 56
2 16, 79, 43, 28
2 8, 79, 43, 14
4, 79, 43, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 79 x 43 x 7 = 760928

Least Common Multiple of 32,79,43,56 with GCF Formula

Least Common Multiple of 32,79,43,56 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 32,79,43,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,79,43,56) = 1

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

GCF(32,79,43,56) x common factors =1 x 8 = 8

LCM(32,79,43,56) = ( 32 × 79 × 43 × 56 ) / 8

LCM(32,79,43,56) = 6087424 / 8

LCM(32,79,43,56) = 760928


Lets's calculate GCF of 64,23,29,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 760928/1

Therefore the LCM of Fractions 32/64,79/23,43/29,56/848 is 760928

Greatest Common Factor of 64,23,29,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,23,29,848 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 64,23,29,848 . The biggest common factor number is the GCF number.
So the greatest common factor 64,23,29,848 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 32/64, 79/23, 43/29, 56/848

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 32/64, 79/23, 43/29, 56/848?

Answer: LCM of Numerators as per given numbers 32/64, 79/23, 43/29, 56/848 is

LCM of Numerators i.e. for 32,79,43,56 is 760928

GCF of denominators i.e. for 64,23,29,848 is 1.

Thus, LCM of Fractions is 760928.Finally, LCM of Fractions for 32/64, 79/23, 43/29, 56/848 is 760928.