Least Common Multiple of 89/48, 36/99, 846/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/48, 36/99, 846/135 quickly i.e. 50196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/48, 36/99, 846/135 is 50196.

LCM(89/48, 36/99, 846/135) = 50196

LCM of 89/48, 36/99, 846/135

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 89/48,36/99,846/135

Given numbers are 89/48,36/99,846/135

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 89,36,846

Least Common Multiple of Numerators i.e. LCM of 89,36,846 is 150588.

GCF of Denominators means GCF of 48,99,135 as per the given fractions.

GCF of 48,99,135 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,36,846

LCM of Fractions 89/48,36/99,846/135 is 50196

2 89, 36, 846
3 89, 18, 423
3 89, 6, 141
89, 2, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 89 x 2 x 47 = 150588

Least Common Multiple of 89,36,846 with GCF Formula

Least Common Multiple of 89,36,846 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 89,36,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,36,846) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(89,36,846) x common factors =1 x 18 = 18

LCM(89,36,846) = ( 89 × 36 × 846 ) / 18

LCM(89,36,846) = 2710584 / 18

LCM(89,36,846) = 150588


Lets's calculate GCF of 48,99,135

3 48, 99, 135
16, 33, 45

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150588/3

Therefore the LCM of Fractions 89/48,36/99,846/135 is 50196

Greatest Common Factor of 48,99,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,99,135 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 48,99,135 . The biggest common factor number is the GCF number.
So the greatest common factor 48,99,135 is 3.


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 89/48, 36/99, 846/135

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 89/48, 36/99, 846/135?

Answer: LCM of Numerators as per given numbers 89/48, 36/99, 846/135 is

LCM of Numerators i.e. for 89,36,846 is 150588

GCF of denominators i.e. for 48,99,135 is 3.

Thus, LCM of Fractions is 50196.Finally, LCM of Fractions for 89/48, 36/99, 846/135 is 50196.