Least Common Multiple of 3637/204, 5722/9979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3637/204, 5722/9979 quickly i.e. 20810914/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3637/204, 5722/9979 is 20810914/17.

LCM(3637/204, 5722/9979) = 20810914/17

LCM of 3637/204, 5722/9979

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 3637/204,5722/9979

Given numbers are 3637/204,5722/9979

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 3637,5722

Least Common Multiple of Numerators i.e. LCM of 3637,5722 is 20810914.

GCF of Denominators means GCF of 204,9979 as per the given fractions.

GCF of 204,9979 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3637,5722

LCM of Fractions 3637/204,5722/9979 is 20810914/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 20810914

Least Common Multiple of 3637,5722 with GCF Formula

Least Common Multiple of 3637,5722 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 3637,5722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3637,5722) = 1

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

GCF(3637,5722) x common factors =1 x 1 = 1

LCM(3637,5722) = ( 3637 × 5722 ) / 1

LCM(3637,5722) = 20810914 / 1

LCM(3637,5722) = 20810914


Lets's calculate GCF of 204,9979

17 204, 9979
12, 587

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20810914/17

Therefore the LCM of Fractions 3637/204,5722/9979 is 20810914/17

Greatest Common Factor of 204,9979 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,9979 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 9979

List of positive integer factors of 9979 that divides 9979 without a remainder.

1,17,587,9979

Greatest Common Factor

We found the factors 204,9979 . The biggest common factor number is the GCF number.
So the greatest common factor 204,9979 is 17.


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 3637/204, 5722/9979

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 3637/204, 5722/9979?

Answer: LCM of Numerators as per given numbers 3637/204, 5722/9979 is

LCM of Numerators i.e. for 3637,5722 is 20810914

GCF of denominators i.e. for 204,9979 is 17.

Thus, LCM of Fractions is 20810914/17.Finally, LCM of Fractions for 3637/204, 5722/9979 is 20810914/17.