Least Common Multiple of 75/92, 81/28, 39/39, 18/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/92, 81/28, 39/39, 18/110 quickly i.e. 52650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/92, 81/28, 39/39, 18/110 is 52650.

LCM(75/92, 81/28, 39/39, 18/110) = 52650

LCM of 75/92, 81/28, 39/39, 18/110

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 75/92,81/28,39/39,18/110

Given numbers are 75/92,81/28,39/39,18/110

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 75,81,39,18

Least Common Multiple of Numerators i.e. LCM of 75,81,39,18 is 52650.

GCF of Denominators means GCF of 92,28,39,110 as per the given fractions.

GCF of 92,28,39,110 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,81,39,18

LCM of Fractions 75/92,81/28,39/39,18/110 is 52650

3 75, 81, 39, 18
3 25, 27, 13, 6
25, 9, 13, 2

∴ So the LCM of the given numbers is 3 x 3 x 25 x 9 x 13 x 2 = 52650

Least Common Multiple of 75,81,39,18 with GCF Formula

Least Common Multiple of 75,81,39,18 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 75,81,39,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,81,39,18) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(75,81,39,18) x common factors =3 x 27 = 81

LCM(75,81,39,18) = ( 75 × 81 × 39 × 18 ) / 81

LCM(75,81,39,18) = 4264650 / 81

LCM(75,81,39,18) = 52650


Lets's calculate GCF of 92,28,39,110

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52650/1

Therefore the LCM of Fractions 75/92,81/28,39/39,18/110 is 52650

Greatest Common Factor of 92,28,39,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,28,39,110 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 110

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

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

Greatest Common Factor

We found the factors 92,28,39,110 . The biggest common factor number is the GCF number.
So the greatest common factor 92,28,39,110 is 1.


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 75/92, 81/28, 39/39, 18/110

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 75/92, 81/28, 39/39, 18/110?

Answer: LCM of Numerators as per given numbers 75/92, 81/28, 39/39, 18/110 is

LCM of Numerators i.e. for 75,81,39,18 is 52650

GCF of denominators i.e. for 92,28,39,110 is 1.

Thus, LCM of Fractions is 52650.Finally, LCM of Fractions for 75/92, 81/28, 39/39, 18/110 is 52650.