Least Common Multiple of 9144/36, 2276/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9144/36, 2276/516 quickly i.e. 433578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9144/36, 2276/516 is 433578.

LCM(9144/36, 2276/516) = 433578

LCM of 9144/36, 2276/516

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 9144/36,2276/516

Given numbers are 9144/36,2276/516

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 9144,2276

Least Common Multiple of Numerators i.e. LCM of 9144,2276 is 5202936.

GCF of Denominators means GCF of 36,516 as per the given fractions.

GCF of 36,516 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9144,2276

LCM of Fractions 9144/36,2276/516 is 433578

2 9144, 2276
2 4572, 1138
2286, 569

∴ So the LCM of the given numbers is 2 x 2 x 2286 x 569 = 5202936

Least Common Multiple of 9144,2276 with GCF Formula

Least Common Multiple of 9144,2276 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 9144,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9144,2276) = 4

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

GCF(9144,2276) x common factors =4 x 1 = 4

LCM(9144,2276) = ( 9144 × 2276 ) / 4

LCM(9144,2276) = 20811744 / 4

LCM(9144,2276) = 5202936


Lets's calculate GCF of 36,516

2 36, 516
2 18, 258
3 9, 129
3, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5202936/12

Therefore the LCM of Fractions 9144/36,2276/516 is 433578

Greatest Common Factor of 36,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,516 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 36,516 . The biggest common factor number is the GCF number.
So the greatest common factor 36,516 is 12.


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 9144/36, 2276/516

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 9144/36, 2276/516?

Answer: LCM of Numerators as per given numbers 9144/36, 2276/516 is

LCM of Numerators i.e. for 9144,2276 is 5202936

GCF of denominators i.e. for 36,516 is 12.

Thus, LCM of Fractions is 433578.Finally, LCM of Fractions for 9144/36, 2276/516 is 433578.