Least Common Multiple of 36/915, 27/972, 906/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/915, 27/972, 906/174 quickly i.e. 5436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/915, 27/972, 906/174 is 5436.

LCM(36/915, 27/972, 906/174) = 5436

LCM of 36/915, 27/972, 906/174

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 36/915,27/972,906/174

Given numbers are 36/915,27/972,906/174

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 36,27,906

Least Common Multiple of Numerators i.e. LCM of 36,27,906 is 16308.

GCF of Denominators means GCF of 915,972,174 as per the given fractions.

GCF of 915,972,174 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,27,906

LCM of Fractions 36/915,27/972,906/174 is 5436

2 36, 27, 906
3 18, 27, 453
3 6, 9, 151
2, 3, 151

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 3 x 151 = 16308

Least Common Multiple of 36,27,906 with GCF Formula

Least Common Multiple of 36,27,906 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 36,27,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,27,906) = 3

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

GCF(36,27,906) x common factors =3 x 18 = 54

LCM(36,27,906) = ( 36 × 27 × 906 ) / 54

LCM(36,27,906) = 880632 / 54

LCM(36,27,906) = 16308


Lets's calculate GCF of 915,972,174

3 915, 972, 174
305, 324, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16308/3

Therefore the LCM of Fractions 36/915,27/972,906/174 is 5436

Greatest Common Factor of 915,972,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,972,174 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 915,972,174 . The biggest common factor number is the GCF number.
So the greatest common factor 915,972,174 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 36/915, 27/972, 906/174

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 36/915, 27/972, 906/174?

Answer: LCM of Numerators as per given numbers 36/915, 27/972, 906/174 is

LCM of Numerators i.e. for 36,27,906 is 16308

GCF of denominators i.e. for 915,972,174 is 3.

Thus, LCM of Fractions is 5436.Finally, LCM of Fractions for 36/915, 27/972, 906/174 is 5436.