Least Common Multiple of 8281/73, 8979/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8281/73, 8979/664 quickly i.e. 74355099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8281/73, 8979/664 is 74355099.

LCM(8281/73, 8979/664) = 74355099

LCM of 8281/73, 8979/664

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 8281/73,8979/664

Given numbers are 8281/73,8979/664

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 8281,8979

Least Common Multiple of Numerators i.e. LCM of 8281,8979 is 74355099.

GCF of Denominators means GCF of 73,664 as per the given fractions.

GCF of 73,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8281,8979

LCM of Fractions 8281/73,8979/664 is 74355099

Given numbers has no common factors except 1. So, there LCM is their product i.e 74355099

Least Common Multiple of 8281,8979 with GCF Formula

Least Common Multiple of 8281,8979 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 8281,8979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8281,8979) = 1

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

GCF(8281,8979) x common factors =1 x 1 = 1

LCM(8281,8979) = ( 8281 × 8979 ) / 1

LCM(8281,8979) = 74355099 / 1

LCM(8281,8979) = 74355099


Lets's calculate GCF of 73,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74355099/1

Therefore the LCM of Fractions 8281/73,8979/664 is 74355099

Greatest Common Factor of 73,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,664 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 73,664 . The biggest common factor number is the GCF number.
So the greatest common factor 73,664 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8281/73, 8979/664

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 8281/73, 8979/664?

Answer: LCM of Numerators as per given numbers 8281/73, 8979/664 is

LCM of Numerators i.e. for 8281,8979 is 74355099

GCF of denominators i.e. for 73,664 is 1.

Thus, LCM of Fractions is 74355099.Finally, LCM of Fractions for 8281/73, 8979/664 is 74355099.