Least Common Multiple of 96/11, 591/40, 788/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/11, 591/40, 788/807 quickly i.e. 18912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/11, 591/40, 788/807 is 18912.

LCM(96/11, 591/40, 788/807) = 18912

LCM of 96/11, 591/40, 788/807

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 96/11,591/40,788/807

Given numbers are 96/11,591/40,788/807

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 96,591,788

Least Common Multiple of Numerators i.e. LCM of 96,591,788 is 18912.

GCF of Denominators means GCF of 11,40,807 as per the given fractions.

GCF of 11,40,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,591,788

LCM of Fractions 96/11,591/40,788/807 is 18912

2 96, 591, 788
2 48, 591, 394
3 24, 591, 197
197 8, 197, 197
8, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 197 x 8 x 1 x 1 = 18912

Least Common Multiple of 96,591,788 with GCF Formula

Least Common Multiple of 96,591,788 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 96,591,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,591,788) = 1

common factors(in case of two or more numbers have common factors) = 2364

GCF(96,591,788) x common factors =1 x 2364 = 2364

LCM(96,591,788) = ( 96 × 591 × 788 ) / 2364

LCM(96,591,788) = 44707968 / 2364

LCM(96,591,788) = 18912


Lets's calculate GCF of 11,40,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18912/1

Therefore the LCM of Fractions 96/11,591/40,788/807 is 18912

Greatest Common Factor of 11,40,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,40,807 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 11,40,807 . The biggest common factor number is the GCF number.
So the greatest common factor 11,40,807 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 96/11, 591/40, 788/807

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 96/11, 591/40, 788/807?

Answer: LCM of Numerators as per given numbers 96/11, 591/40, 788/807 is

LCM of Numerators i.e. for 96,591,788 is 18912

GCF of denominators i.e. for 11,40,807 is 1.

Thus, LCM of Fractions is 18912.Finally, LCM of Fractions for 96/11, 591/40, 788/807 is 18912.