Least Common Multiple of 8601/296, 2082/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8601/296, 2082/969 quickly i.e. 5969094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8601/296, 2082/969 is 5969094.

LCM(8601/296, 2082/969) = 5969094

LCM of 8601/296, 2082/969

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 8601/296,2082/969

Given numbers are 8601/296,2082/969

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 8601,2082

Least Common Multiple of Numerators i.e. LCM of 8601,2082 is 5969094.

GCF of Denominators means GCF of 296,969 as per the given fractions.

GCF of 296,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8601,2082

LCM of Fractions 8601/296,2082/969 is 5969094

3 8601, 2082
2867, 694

∴ So the LCM of the given numbers is 3 x 2867 x 694 = 5969094

Least Common Multiple of 8601,2082 with GCF Formula

Least Common Multiple of 8601,2082 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 8601,2082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8601,2082) = 3

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

GCF(8601,2082) x common factors =3 x 1 = 3

LCM(8601,2082) = ( 8601 × 2082 ) / 3

LCM(8601,2082) = 17907282 / 3

LCM(8601,2082) = 5969094


Lets's calculate GCF of 296,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5969094/1

Therefore the LCM of Fractions 8601/296,2082/969 is 5969094

Greatest Common Factor of 296,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,969 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 296,969 . The biggest common factor number is the GCF number.
So the greatest common factor 296,969 is 1.


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 8601/296, 2082/969

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 8601/296, 2082/969?

Answer: LCM of Numerators as per given numbers 8601/296, 2082/969 is

LCM of Numerators i.e. for 8601,2082 is 5969094

GCF of denominators i.e. for 296,969 is 1.

Thus, LCM of Fractions is 5969094.Finally, LCM of Fractions for 8601/296, 2082/969 is 5969094.