Least Common Multiple of 9224/418, 5854/3516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9224/418, 5854/3516 quickly i.e. 13499324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9224/418, 5854/3516 is 13499324.

LCM(9224/418, 5854/3516) = 13499324

LCM of 9224/418, 5854/3516

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 9224/418,5854/3516

Given numbers are 9224/418,5854/3516

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 9224,5854

Least Common Multiple of Numerators i.e. LCM of 9224,5854 is 26998648.

GCF of Denominators means GCF of 418,3516 as per the given fractions.

GCF of 418,3516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9224,5854

LCM of Fractions 9224/418,5854/3516 is 13499324

2 9224, 5854
4612, 2927

∴ So the LCM of the given numbers is 2 x 4612 x 2927 = 26998648

Least Common Multiple of 9224,5854 with GCF Formula

Least Common Multiple of 9224,5854 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 9224,5854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9224,5854) = 2

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

GCF(9224,5854) x common factors =2 x 1 = 2

LCM(9224,5854) = ( 9224 × 5854 ) / 2

LCM(9224,5854) = 53997296 / 2

LCM(9224,5854) = 26998648


Lets's calculate GCF of 418,3516

2 418, 3516
209, 1758

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26998648/2

Therefore the LCM of Fractions 9224/418,5854/3516 is 13499324

Greatest Common Factor of 418,3516 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,3516 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 3516

List of positive integer factors of 3516 that divides 3516 without a remainder.

1,2,3,4,6,12,293,586,879,1172,1758,3516

Greatest Common Factor

We found the factors 418,3516 . The biggest common factor number is the GCF number.
So the greatest common factor 418,3516 is 2.


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 9224/418, 5854/3516

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 9224/418, 5854/3516?

Answer: LCM of Numerators as per given numbers 9224/418, 5854/3516 is

LCM of Numerators i.e. for 9224,5854 is 26998648

GCF of denominators i.e. for 418,3516 is 2.

Thus, LCM of Fractions is 13499324.Finally, LCM of Fractions for 9224/418, 5854/3516 is 13499324.