Least Common Multiple of 765/96, 976/50, 873/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/96, 976/50, 873/918 quickly i.e. 36212040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/96, 976/50, 873/918 is 36212040.

LCM(765/96, 976/50, 873/918) = 36212040

LCM of 765/96, 976/50, 873/918

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 765/96,976/50,873/918

Given numbers are 765/96,976/50,873/918

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 765,976,873

Least Common Multiple of Numerators i.e. LCM of 765,976,873 is 72424080.

GCF of Denominators means GCF of 96,50,918 as per the given fractions.

GCF of 96,50,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,976,873

LCM of Fractions 765/96,976/50,873/918 is 36212040

3 765, 976, 873
3 255, 976, 291
85, 976, 97

∴ So the LCM of the given numbers is 3 x 3 x 85 x 976 x 97 = 72424080

Least Common Multiple of 765,976,873 with GCF Formula

Least Common Multiple of 765,976,873 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 765,976,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,976,873) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(765,976,873) x common factors =1 x 9 = 9

LCM(765,976,873) = ( 765 × 976 × 873 ) / 9

LCM(765,976,873) = 651816720 / 9

LCM(765,976,873) = 72424080


Lets's calculate GCF of 96,50,918

2 96, 50, 918
48, 25, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72424080/2

Therefore the LCM of Fractions 765/96,976/50,873/918 is 36212040

Greatest Common Factor of 96,50,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,50,918 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 96,50,918 . The biggest common factor number is the GCF number.
So the greatest common factor 96,50,918 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 765/96, 976/50, 873/918

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 765/96, 976/50, 873/918?

Answer: LCM of Numerators as per given numbers 765/96, 976/50, 873/918 is

LCM of Numerators i.e. for 765,976,873 is 72424080

GCF of denominators i.e. for 96,50,918 is 2.

Thus, LCM of Fractions is 36212040.Finally, LCM of Fractions for 765/96, 976/50, 873/918 is 36212040.