Least Common Multiple of 8994/81, 5269/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8994/81, 5269/642 quickly i.e. 15796462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8994/81, 5269/642 is 15796462.

LCM(8994/81, 5269/642) = 15796462

LCM of 8994/81, 5269/642

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 8994/81,5269/642

Given numbers are 8994/81,5269/642

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 8994,5269

Least Common Multiple of Numerators i.e. LCM of 8994,5269 is 47389386.

GCF of Denominators means GCF of 81,642 as per the given fractions.

GCF of 81,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8994,5269

LCM of Fractions 8994/81,5269/642 is 15796462

Given numbers has no common factors except 1. So, there LCM is their product i.e 47389386

Least Common Multiple of 8994,5269 with GCF Formula

Least Common Multiple of 8994,5269 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 8994,5269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8994,5269) = 1

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

GCF(8994,5269) x common factors =1 x 1 = 1

LCM(8994,5269) = ( 8994 × 5269 ) / 1

LCM(8994,5269) = 47389386 / 1

LCM(8994,5269) = 47389386


Lets's calculate GCF of 81,642

3 81, 642
27, 214

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47389386/3

Therefore the LCM of Fractions 8994/81,5269/642 is 15796462

Greatest Common Factor of 81,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,642 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 81,642 . The biggest common factor number is the GCF number.
So the greatest common factor 81,642 is 3.


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Frequently Asked Questions on Fractional LCM of 8994/81, 5269/642

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 8994/81, 5269/642?

Answer: LCM of Numerators as per given numbers 8994/81, 5269/642 is

LCM of Numerators i.e. for 8994,5269 is 47389386

GCF of denominators i.e. for 81,642 is 3.

Thus, LCM of Fractions is 15796462.Finally, LCM of Fractions for 8994/81, 5269/642 is 15796462.