Least Common Multiple of 7809/968, 5366/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7809/968, 5366/512 quickly i.e. 41903094/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7809/968, 5366/512 is 41903094/8.

LCM(7809/968, 5366/512) = 41903094/8

LCM of 7809/968, 5366/512

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 7809/968,5366/512

Given numbers are 7809/968,5366/512

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 7809,5366

Least Common Multiple of Numerators i.e. LCM of 7809,5366 is 41903094.

GCF of Denominators means GCF of 968,512 as per the given fractions.

GCF of 968,512 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7809,5366

LCM of Fractions 7809/968,5366/512 is 41903094/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 41903094

Least Common Multiple of 7809,5366 with GCF Formula

Least Common Multiple of 7809,5366 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 7809,5366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7809,5366) = 1

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

GCF(7809,5366) x common factors =1 x 1 = 1

LCM(7809,5366) = ( 7809 × 5366 ) / 1

LCM(7809,5366) = 41903094 / 1

LCM(7809,5366) = 41903094


Lets's calculate GCF of 968,512

2 968, 512
2 484, 256
2 242, 128
121, 64

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41903094/8

Therefore the LCM of Fractions 7809/968,5366/512 is 41903094/8

Greatest Common Factor of 968,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,512 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 968,512 . The biggest common factor number is the GCF number.
So the greatest common factor 968,512 is 8.


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 7809/968, 5366/512

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 7809/968, 5366/512?

Answer: LCM of Numerators as per given numbers 7809/968, 5366/512 is

LCM of Numerators i.e. for 7809,5366 is 41903094

GCF of denominators i.e. for 968,512 is 8.

Thus, LCM of Fractions is 41903094/8.Finally, LCM of Fractions for 7809/968, 5366/512 is 41903094/8.