Least Common Multiple of 24/116, 5516/7561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/116, 5516/7561 quickly i.e. 33096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/116, 5516/7561 is 33096.

LCM(24/116, 5516/7561) = 33096

LCM of 24/116, 5516/7561

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 24/116,5516/7561

Given numbers are 24/116,5516/7561

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 24,5516

Least Common Multiple of Numerators i.e. LCM of 24,5516 is 33096.

GCF of Denominators means GCF of 116,7561 as per the given fractions.

GCF of 116,7561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,5516

LCM of Fractions 24/116,5516/7561 is 33096

2 24, 5516
2 12, 2758
6, 1379

∴ So the LCM of the given numbers is 2 x 2 x 6 x 1379 = 33096

Least Common Multiple of 24,5516 with GCF Formula

Least Common Multiple of 24,5516 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 24,5516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,5516) = 4

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

GCF(24,5516) x common factors =4 x 1 = 4

LCM(24,5516) = ( 24 × 5516 ) / 4

LCM(24,5516) = 132384 / 4

LCM(24,5516) = 33096


Lets's calculate GCF of 116,7561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33096/1

Therefore the LCM of Fractions 24/116,5516/7561 is 33096

Greatest Common Factor of 116,7561 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,7561 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 7561

List of positive integer factors of 7561 that divides 7561 without a remainder.

1,7561

Greatest Common Factor

We found the factors 116,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 116,7561 is 1.


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 24/116, 5516/7561

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 24/116, 5516/7561?

Answer: LCM of Numerators as per given numbers 24/116, 5516/7561 is

LCM of Numerators i.e. for 24,5516 is 33096

GCF of denominators i.e. for 116,7561 is 1.

Thus, LCM of Fractions is 33096.Finally, LCM of Fractions for 24/116, 5516/7561 is 33096.