Least Common Multiple of 2299/116, 7944/2469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2299/116, 7944/2469 quickly i.e. 18263256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2299/116, 7944/2469 is 18263256.

LCM(2299/116, 7944/2469) = 18263256

LCM of 2299/116, 7944/2469

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 2299/116,7944/2469

Given numbers are 2299/116,7944/2469

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 2299,7944

Least Common Multiple of Numerators i.e. LCM of 2299,7944 is 18263256.

GCF of Denominators means GCF of 116,2469 as per the given fractions.

GCF of 116,2469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2299,7944

LCM of Fractions 2299/116,7944/2469 is 18263256

Given numbers has no common factors except 1. So, there LCM is their product i.e 18263256

Least Common Multiple of 2299,7944 with GCF Formula

Least Common Multiple of 2299,7944 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 2299,7944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2299,7944) = 1

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

GCF(2299,7944) x common factors =1 x 1 = 1

LCM(2299,7944) = ( 2299 × 7944 ) / 1

LCM(2299,7944) = 18263256 / 1

LCM(2299,7944) = 18263256


Lets's calculate GCF of 116,2469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18263256/1

Therefore the LCM of Fractions 2299/116,7944/2469 is 18263256

Greatest Common Factor of 116,2469 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,2469 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 2469

List of positive integer factors of 2469 that divides 2469 without a remainder.

1,3,823,2469

Greatest Common Factor

We found the factors 116,2469 . The biggest common factor number is the GCF number.
So the greatest common factor 116,2469 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 2299/116, 7944/2469

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 2299/116, 7944/2469?

Answer: LCM of Numerators as per given numbers 2299/116, 7944/2469 is

LCM of Numerators i.e. for 2299,7944 is 18263256

GCF of denominators i.e. for 116,2469 is 1.

Thus, LCM of Fractions is 18263256.Finally, LCM of Fractions for 2299/116, 7944/2469 is 18263256.