Least Common Multiple of 109/38, 888/5334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/38, 888/5334 quickly i.e. 48396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/38, 888/5334 is 48396.

LCM(109/38, 888/5334) = 48396

LCM of 109/38, 888/5334

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 109/38,888/5334

Given numbers are 109/38,888/5334

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 109,888

Least Common Multiple of Numerators i.e. LCM of 109,888 is 96792.

GCF of Denominators means GCF of 38,5334 as per the given fractions.

GCF of 38,5334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,888

LCM of Fractions 109/38,888/5334 is 48396

Given numbers has no common factors except 1. So, there LCM is their product i.e 96792

Least Common Multiple of 109,888 with GCF Formula

Least Common Multiple of 109,888 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 109,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,888) = 1

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

GCF(109,888) x common factors =1 x 1 = 1

LCM(109,888) = ( 109 × 888 ) / 1

LCM(109,888) = 96792 / 1

LCM(109,888) = 96792


Lets's calculate GCF of 38,5334

2 38, 5334
19, 2667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96792/2

Therefore the LCM of Fractions 109/38,888/5334 is 48396

Greatest Common Factor of 38,5334 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,5334 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Greatest Common Factor

We found the factors 38,5334 . The biggest common factor number is the GCF number.
So the greatest common factor 38,5334 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 109/38, 888/5334

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 109/38, 888/5334?

Answer: LCM of Numerators as per given numbers 109/38, 888/5334 is

LCM of Numerators i.e. for 109,888 is 96792

GCF of denominators i.e. for 38,5334 is 2.

Thus, LCM of Fractions is 48396.Finally, LCM of Fractions for 109/38, 888/5334 is 48396.