Least Common Multiple of 8099/982, 7724/3604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8099/982, 7724/3604 quickly i.e. 31278338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8099/982, 7724/3604 is 31278338.

LCM(8099/982, 7724/3604) = 31278338

LCM of 8099/982, 7724/3604

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 8099/982,7724/3604

Given numbers are 8099/982,7724/3604

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 8099,7724

Least Common Multiple of Numerators i.e. LCM of 8099,7724 is 62556676.

GCF of Denominators means GCF of 982,3604 as per the given fractions.

GCF of 982,3604 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8099,7724

LCM of Fractions 8099/982,7724/3604 is 31278338

Given numbers has no common factors except 1. So, there LCM is their product i.e 62556676

Least Common Multiple of 8099,7724 with GCF Formula

Least Common Multiple of 8099,7724 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 8099,7724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8099,7724) = 1

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

GCF(8099,7724) x common factors =1 x 1 = 1

LCM(8099,7724) = ( 8099 × 7724 ) / 1

LCM(8099,7724) = 62556676 / 1

LCM(8099,7724) = 62556676


Lets's calculate GCF of 982,3604

2 982, 3604
491, 1802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62556676/2

Therefore the LCM of Fractions 8099/982,7724/3604 is 31278338

Greatest Common Factor of 982,3604 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,3604 By Matching Biggest Common Factor Method

Factors of 982

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

1,2,491,982

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1,2,4,17,34,53,68,106,212,901,1802,3604

Greatest Common Factor

We found the factors 982,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 982,3604 is 2.


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 8099/982, 7724/3604

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 8099/982, 7724/3604?

Answer: LCM of Numerators as per given numbers 8099/982, 7724/3604 is

LCM of Numerators i.e. for 8099,7724 is 62556676

GCF of denominators i.e. for 982,3604 is 2.

Thus, LCM of Fractions is 31278338.Finally, LCM of Fractions for 8099/982, 7724/3604 is 31278338.