Least Common Multiple of 98/75, 84/39, 27/27, 92/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/75, 84/39, 27/27, 92/995 quickly i.e. 121716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/75, 84/39, 27/27, 92/995 is 121716.

LCM(98/75, 84/39, 27/27, 92/995) = 121716

LCM of 98/75, 84/39, 27/27, 92/995

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 98/75,84/39,27/27,92/995

Given numbers are 98/75,84/39,27/27,92/995

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 98,84,27,92

Least Common Multiple of Numerators i.e. LCM of 98,84,27,92 is 121716.

GCF of Denominators means GCF of 75,39,27,995 as per the given fractions.

GCF of 75,39,27,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,84,27,92

LCM of Fractions 98/75,84/39,27/27,92/995 is 121716

2 98, 84, 27, 92
2 49, 42, 27, 46
3 49, 21, 27, 23
7 49, 7, 9, 23
1, 7, 9, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 7 x 9 x 23 = 121716

Least Common Multiple of 98,84,27,92 with GCF Formula

Least Common Multiple of 98,84,27,92 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 98,84,27,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,84,27,92) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(98,84,27,92) x common factors =1 x 168 = 168

LCM(98,84,27,92) = ( 98 × 84 × 27 × 92 ) / 168

LCM(98,84,27,92) = 20448288 / 168

LCM(98,84,27,92) = 121716


Lets's calculate GCF of 75,39,27,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121716/1

Therefore the LCM of Fractions 98/75,84/39,27/27,92/995 is 121716

Greatest Common Factor of 75,39,27,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,39,27,995 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 39

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

1,3,13,39

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 75,39,27,995 . The biggest common factor number is the GCF number.
So the greatest common factor 75,39,27,995 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 98/75, 84/39, 27/27, 92/995

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 98/75, 84/39, 27/27, 92/995?

Answer: LCM of Numerators as per given numbers 98/75, 84/39, 27/27, 92/995 is

LCM of Numerators i.e. for 98,84,27,92 is 121716

GCF of denominators i.e. for 75,39,27,995 is 1.

Thus, LCM of Fractions is 121716.Finally, LCM of Fractions for 98/75, 84/39, 27/27, 92/995 is 121716.