Least Common Multiple of 9909/57, 3619/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9909/57, 3619/117 quickly i.e. 11953557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9909/57, 3619/117 is 11953557.

LCM(9909/57, 3619/117) = 11953557

LCM of 9909/57, 3619/117

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 9909/57,3619/117

Given numbers are 9909/57,3619/117

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 9909,3619

Least Common Multiple of Numerators i.e. LCM of 9909,3619 is 35860671.

GCF of Denominators means GCF of 57,117 as per the given fractions.

GCF of 57,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9909,3619

LCM of Fractions 9909/57,3619/117 is 11953557

Given numbers has no common factors except 1. So, there LCM is their product i.e 35860671

Least Common Multiple of 9909,3619 with GCF Formula

Least Common Multiple of 9909,3619 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 9909,3619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9909,3619) = 1

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

GCF(9909,3619) x common factors =1 x 1 = 1

LCM(9909,3619) = ( 9909 × 3619 ) / 1

LCM(9909,3619) = 35860671 / 1

LCM(9909,3619) = 35860671


Lets's calculate GCF of 57,117

3 57, 117
19, 39

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35860671/3

Therefore the LCM of Fractions 9909/57,3619/117 is 11953557

Greatest Common Factor of 57,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,117 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 57,117 . The biggest common factor number is the GCF number.
So the greatest common factor 57,117 is 3.


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 9909/57, 3619/117

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 9909/57, 3619/117?

Answer: LCM of Numerators as per given numbers 9909/57, 3619/117 is

LCM of Numerators i.e. for 9909,3619 is 35860671

GCF of denominators i.e. for 57,117 is 3.

Thus, LCM of Fractions is 11953557.Finally, LCM of Fractions for 9909/57, 3619/117 is 11953557.