Least Common Multiple of 96/72, 677/66, 794/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/72, 677/66, 794/848 quickly i.e. 12900912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/72, 677/66, 794/848 is 12900912.

LCM(96/72, 677/66, 794/848) = 12900912

LCM of 96/72, 677/66, 794/848

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 96/72,677/66,794/848

Given numbers are 96/72,677/66,794/848

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 96,677,794

Least Common Multiple of Numerators i.e. LCM of 96,677,794 is 25801824.

GCF of Denominators means GCF of 72,66,848 as per the given fractions.

GCF of 72,66,848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,677,794

LCM of Fractions 96/72,677/66,794/848 is 12900912

2 96, 677, 794
48, 677, 397

∴ So the LCM of the given numbers is 2 x 48 x 677 x 397 = 25801824

Least Common Multiple of 96,677,794 with GCF Formula

Least Common Multiple of 96,677,794 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 96,677,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,677,794) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,677,794) x common factors =1 x 2 = 2

LCM(96,677,794) = ( 96 × 677 × 794 ) / 2

LCM(96,677,794) = 51603648 / 2

LCM(96,677,794) = 25801824


Lets's calculate GCF of 72,66,848

2 72, 66, 848
36, 33, 424

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25801824/2

Therefore the LCM of Fractions 96/72,677/66,794/848 is 12900912

Greatest Common Factor of 72,66,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,66,848 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 72,66,848 . The biggest common factor number is the GCF number.
So the greatest common factor 72,66,848 is 2.


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 96/72, 677/66, 794/848

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 96/72, 677/66, 794/848?

Answer: LCM of Numerators as per given numbers 96/72, 677/66, 794/848 is

LCM of Numerators i.e. for 96,677,794 is 25801824

GCF of denominators i.e. for 72,66,848 is 2.

Thus, LCM of Fractions is 12900912.Finally, LCM of Fractions for 96/72, 677/66, 794/848 is 12900912.