Least Common Multiple of 8682/29, 9623/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8682/29, 9623/982 quickly i.e. 83546886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8682/29, 9623/982 is 83546886.

LCM(8682/29, 9623/982) = 83546886

LCM of 8682/29, 9623/982

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 8682/29,9623/982

Given numbers are 8682/29,9623/982

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 8682,9623

Least Common Multiple of Numerators i.e. LCM of 8682,9623 is 83546886.

GCF of Denominators means GCF of 29,982 as per the given fractions.

GCF of 29,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8682,9623

LCM of Fractions 8682/29,9623/982 is 83546886

Given numbers has no common factors except 1. So, there LCM is their product i.e 83546886

Least Common Multiple of 8682,9623 with GCF Formula

Least Common Multiple of 8682,9623 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 8682,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8682,9623) = 1

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

GCF(8682,9623) x common factors =1 x 1 = 1

LCM(8682,9623) = ( 8682 × 9623 ) / 1

LCM(8682,9623) = 83546886 / 1

LCM(8682,9623) = 83546886


Lets's calculate GCF of 29,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83546886/1

Therefore the LCM of Fractions 8682/29,9623/982 is 83546886

Greatest Common Factor of 29,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,982 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 29,982 . The biggest common factor number is the GCF number.
So the greatest common factor 29,982 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8682/29, 9623/982

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 8682/29, 9623/982?

Answer: LCM of Numerators as per given numbers 8682/29, 9623/982 is

LCM of Numerators i.e. for 8682,9623 is 83546886

GCF of denominators i.e. for 29,982 is 1.

Thus, LCM of Fractions is 83546886.Finally, LCM of Fractions for 8682/29, 9623/982 is 83546886.