Least Common Multiple of 7752/769, 3609/9665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7752/769, 3609/9665 quickly i.e. 9325656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7752/769, 3609/9665 is 9325656.

LCM(7752/769, 3609/9665) = 9325656

LCM of 7752/769, 3609/9665

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 7752/769,3609/9665

Given numbers are 7752/769,3609/9665

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 7752,3609

Least Common Multiple of Numerators i.e. LCM of 7752,3609 is 9325656.

GCF of Denominators means GCF of 769,9665 as per the given fractions.

GCF of 769,9665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7752,3609

LCM of Fractions 7752/769,3609/9665 is 9325656

3 7752, 3609
2584, 1203

∴ So the LCM of the given numbers is 3 x 2584 x 1203 = 9325656

Least Common Multiple of 7752,3609 with GCF Formula

Least Common Multiple of 7752,3609 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 7752,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7752,3609) = 3

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

GCF(7752,3609) x common factors =3 x 1 = 3

LCM(7752,3609) = ( 7752 × 3609 ) / 3

LCM(7752,3609) = 27976968 / 3

LCM(7752,3609) = 9325656


Lets's calculate GCF of 769,9665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9325656/1

Therefore the LCM of Fractions 7752/769,3609/9665 is 9325656

Greatest Common Factor of 769,9665 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,9665 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1,5,1933,9665

Greatest Common Factor

We found the factors 769,9665 . The biggest common factor number is the GCF number.
So the greatest common factor 769,9665 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 7752/769, 3609/9665

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 7752/769, 3609/9665?

Answer: LCM of Numerators as per given numbers 7752/769, 3609/9665 is

LCM of Numerators i.e. for 7752,3609 is 9325656

GCF of denominators i.e. for 769,9665 is 1.

Thus, LCM of Fractions is 9325656.Finally, LCM of Fractions for 7752/769, 3609/9665 is 9325656.