Least Common Multiple of 7691/265, 9865/3061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7691/265, 9865/3061 quickly i.e. 75871715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7691/265, 9865/3061 is 75871715.

LCM(7691/265, 9865/3061) = 75871715

LCM of 7691/265, 9865/3061

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 7691/265,9865/3061

Given numbers are 7691/265,9865/3061

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 7691,9865

Least Common Multiple of Numerators i.e. LCM of 7691,9865 is 75871715.

GCF of Denominators means GCF of 265,3061 as per the given fractions.

GCF of 265,3061 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7691,9865

LCM of Fractions 7691/265,9865/3061 is 75871715

Given numbers has no common factors except 1. So, there LCM is their product i.e 75871715

Least Common Multiple of 7691,9865 with GCF Formula

Least Common Multiple of 7691,9865 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 7691,9865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7691,9865) = 1

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

GCF(7691,9865) x common factors =1 x 1 = 1

LCM(7691,9865) = ( 7691 × 9865 ) / 1

LCM(7691,9865) = 75871715 / 1

LCM(7691,9865) = 75871715


Lets's calculate GCF of 265,3061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75871715/1

Therefore the LCM of Fractions 7691/265,9865/3061 is 75871715

Greatest Common Factor of 265,3061 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,3061 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 3061

List of positive integer factors of 3061 that divides 3061 without a remainder.

1,3061

Greatest Common Factor

We found the factors 265,3061 . The biggest common factor number is the GCF number.
So the greatest common factor 265,3061 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7691/265, 9865/3061

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 7691/265, 9865/3061?

Answer: LCM of Numerators as per given numbers 7691/265, 9865/3061 is

LCM of Numerators i.e. for 7691,9865 is 75871715

GCF of denominators i.e. for 265,3061 is 1.

Thus, LCM of Fractions is 75871715.Finally, LCM of Fractions for 7691/265, 9865/3061 is 75871715.