Least Common Multiple of 5387/110, 6189/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5387/110, 6189/112 quickly i.e. 33340143/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5387/110, 6189/112 is 33340143/2.

LCM(5387/110, 6189/112) = 33340143/2

LCM of 5387/110, 6189/112

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 5387/110,6189/112

Given numbers are 5387/110,6189/112

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 5387,6189

Least Common Multiple of Numerators i.e. LCM of 5387,6189 is 33340143.

GCF of Denominators means GCF of 110,112 as per the given fractions.

GCF of 110,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5387,6189

LCM of Fractions 5387/110,6189/112 is 33340143/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 33340143

Least Common Multiple of 5387,6189 with GCF Formula

Least Common Multiple of 5387,6189 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 5387,6189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5387,6189) = 1

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

GCF(5387,6189) x common factors =1 x 1 = 1

LCM(5387,6189) = ( 5387 × 6189 ) / 1

LCM(5387,6189) = 33340143 / 1

LCM(5387,6189) = 33340143


Lets's calculate GCF of 110,112

2 110, 112
55, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33340143/2

Therefore the LCM of Fractions 5387/110,6189/112 is 33340143/2

Greatest Common Factor of 110,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,112 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 110,112 . The biggest common factor number is the GCF number.
So the greatest common factor 110,112 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 5387/110, 6189/112

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 5387/110, 6189/112?

Answer: LCM of Numerators as per given numbers 5387/110, 6189/112 is

LCM of Numerators i.e. for 5387,6189 is 33340143

GCF of denominators i.e. for 110,112 is 2.

Thus, LCM of Fractions is 33340143/2.Finally, LCM of Fractions for 5387/110, 6189/112 is 33340143/2.