Least Common Multiple of 765/961, 9376/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/961, 9376/514 quickly i.e. 7172640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/961, 9376/514 is 7172640.

LCM(765/961, 9376/514) = 7172640

LCM of 765/961, 9376/514

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 765/961,9376/514

Given numbers are 765/961,9376/514

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 765,9376

Least Common Multiple of Numerators i.e. LCM of 765,9376 is 7172640.

GCF of Denominators means GCF of 961,514 as per the given fractions.

GCF of 961,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,9376

LCM of Fractions 765/961,9376/514 is 7172640

Given numbers has no common factors except 1. So, there LCM is their product i.e 7172640

Least Common Multiple of 765,9376 with GCF Formula

Least Common Multiple of 765,9376 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 765,9376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,9376) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(765,9376) x common factors =1 x 1 = 1

LCM(765,9376) = ( 765 × 9376 ) / 1

LCM(765,9376) = 7172640 / 1

LCM(765,9376) = 7172640


Lets's calculate GCF of 961,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7172640/1

Therefore the LCM of Fractions 765/961,9376/514 is 7172640

Greatest Common Factor of 961,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,514 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 961,514 . The biggest common factor number is the GCF number.
So the greatest common factor 961,514 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 765/961, 9376/514

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 765/961, 9376/514?

Answer: LCM of Numerators as per given numbers 765/961, 9376/514 is

LCM of Numerators i.e. for 765,9376 is 7172640

GCF of denominators i.e. for 961,514 is 1.

Thus, LCM of Fractions is 7172640.Finally, LCM of Fractions for 765/961, 9376/514 is 7172640.