Least Common Multiple of 765/10, 753/76, 928/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/10, 753/76, 928/181 quickly i.e. 178189920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/10, 753/76, 928/181 is 178189920.

LCM(765/10, 753/76, 928/181) = 178189920

LCM of 765/10, 753/76, 928/181

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 765/10,753/76,928/181

Given numbers are 765/10,753/76,928/181

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 765,753,928

Least Common Multiple of Numerators i.e. LCM of 765,753,928 is 178189920.

GCF of Denominators means GCF of 10,76,181 as per the given fractions.

GCF of 10,76,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,753,928

LCM of Fractions 765/10,753/76,928/181 is 178189920

3 765, 753, 928
255, 251, 928

∴ So the LCM of the given numbers is 3 x 255 x 251 x 928 = 178189920

Least Common Multiple of 765,753,928 with GCF Formula

Least Common Multiple of 765,753,928 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 765,753,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,753,928) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(765,753,928) x common factors =1 x 3 = 3

LCM(765,753,928) = ( 765 × 753 × 928 ) / 3

LCM(765,753,928) = 534569760 / 3

LCM(765,753,928) = 178189920


Lets's calculate GCF of 10,76,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178189920/1

Therefore the LCM of Fractions 765/10,753/76,928/181 is 178189920

Greatest Common Factor of 10,76,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,76,181 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 10,76,181 . The biggest common factor number is the GCF number.
So the greatest common factor 10,76,181 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 765/10, 753/76, 928/181

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 765/10, 753/76, 928/181?

Answer: LCM of Numerators as per given numbers 765/10, 753/76, 928/181 is

LCM of Numerators i.e. for 765,753,928 is 178189920

GCF of denominators i.e. for 10,76,181 is 1.

Thus, LCM of Fractions is 178189920.Finally, LCM of Fractions for 765/10, 753/76, 928/181 is 178189920.