Least Common Multiple of 108/44, 336/7382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/44, 336/7382 quickly i.e. 1512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/44, 336/7382 is 1512.

LCM(108/44, 336/7382) = 1512

LCM of 108/44, 336/7382

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 108/44,336/7382

Given numbers are 108/44,336/7382

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 108,336

Least Common Multiple of Numerators i.e. LCM of 108,336 is 3024.

GCF of Denominators means GCF of 44,7382 as per the given fractions.

GCF of 44,7382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,336

LCM of Fractions 108/44,336/7382 is 1512

2 108, 336
2 54, 168
3 27, 84
9, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 28 = 3024

Least Common Multiple of 108,336 with GCF Formula

Least Common Multiple of 108,336 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 108,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,336) = 12

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

GCF(108,336) x common factors =12 x 1 = 12

LCM(108,336) = ( 108 × 336 ) / 12

LCM(108,336) = 36288 / 12

LCM(108,336) = 3024


Lets's calculate GCF of 44,7382

2 44, 7382
22, 3691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3024/2

Therefore the LCM of Fractions 108/44,336/7382 is 1512

Greatest Common Factor of 44,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,7382 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 44,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7382 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 108/44, 336/7382

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 108/44, 336/7382?

Answer: LCM of Numerators as per given numbers 108/44, 336/7382 is

LCM of Numerators i.e. for 108,336 is 3024

GCF of denominators i.e. for 44,7382 is 2.

Thus, LCM of Fractions is 1512.Finally, LCM of Fractions for 108/44, 336/7382 is 1512.