Least Common Multiple of 9949/109, 1312/2061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9949/109, 1312/2061 quickly i.e. 13053088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9949/109, 1312/2061 is 13053088.

LCM(9949/109, 1312/2061) = 13053088

LCM of 9949/109, 1312/2061

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 9949/109,1312/2061

Given numbers are 9949/109,1312/2061

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 9949,1312

Least Common Multiple of Numerators i.e. LCM of 9949,1312 is 13053088.

GCF of Denominators means GCF of 109,2061 as per the given fractions.

GCF of 109,2061 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9949,1312

LCM of Fractions 9949/109,1312/2061 is 13053088

Given numbers has no common factors except 1. So, there LCM is their product i.e 13053088

Least Common Multiple of 9949,1312 with GCF Formula

Least Common Multiple of 9949,1312 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 9949,1312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9949,1312) = 1

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

GCF(9949,1312) x common factors =1 x 1 = 1

LCM(9949,1312) = ( 9949 × 1312 ) / 1

LCM(9949,1312) = 13053088 / 1

LCM(9949,1312) = 13053088


Lets's calculate GCF of 109,2061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13053088/1

Therefore the LCM of Fractions 9949/109,1312/2061 is 13053088

Greatest Common Factor of 109,2061 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,2061 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 2061

List of positive integer factors of 2061 that divides 2061 without a remainder.

1,3,9,229,687,2061

Greatest Common Factor

We found the factors 109,2061 . The biggest common factor number is the GCF number.
So the greatest common factor 109,2061 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9949/109, 1312/2061

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 9949/109, 1312/2061?

Answer: LCM of Numerators as per given numbers 9949/109, 1312/2061 is

LCM of Numerators i.e. for 9949,1312 is 13053088

GCF of denominators i.e. for 109,2061 is 1.

Thus, LCM of Fractions is 13053088.Finally, LCM of Fractions for 9949/109, 1312/2061 is 13053088.