Least Common Multiple of 7721/865, 6782/3452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7721/865, 6782/3452 quickly i.e. 52363822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7721/865, 6782/3452 is 52363822.

LCM(7721/865, 6782/3452) = 52363822

LCM of 7721/865, 6782/3452

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 7721/865,6782/3452

Given numbers are 7721/865,6782/3452

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 7721,6782

Least Common Multiple of Numerators i.e. LCM of 7721,6782 is 52363822.

GCF of Denominators means GCF of 865,3452 as per the given fractions.

GCF of 865,3452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7721,6782

LCM of Fractions 7721/865,6782/3452 is 52363822

Given numbers has no common factors except 1. So, there LCM is their product i.e 52363822

Least Common Multiple of 7721,6782 with GCF Formula

Least Common Multiple of 7721,6782 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 7721,6782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7721,6782) = 1

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

GCF(7721,6782) x common factors =1 x 1 = 1

LCM(7721,6782) = ( 7721 × 6782 ) / 1

LCM(7721,6782) = 52363822 / 1

LCM(7721,6782) = 52363822


Lets's calculate GCF of 865,3452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52363822/1

Therefore the LCM of Fractions 7721/865,6782/3452 is 52363822

Greatest Common Factor of 865,3452 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,3452 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1,2,4,863,1726,3452

Greatest Common Factor

We found the factors 865,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 865,3452 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7721/865, 6782/3452

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 7721/865, 6782/3452?

Answer: LCM of Numerators as per given numbers 7721/865, 6782/3452 is

LCM of Numerators i.e. for 7721,6782 is 52363822

GCF of denominators i.e. for 865,3452 is 1.

Thus, LCM of Fractions is 52363822.Finally, LCM of Fractions for 7721/865, 6782/3452 is 52363822.