Least Common Multiple of 13/45, 25/12, 36/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/45, 25/12, 36/117 quickly i.e. 3900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/45, 25/12, 36/117 is 3900.

LCM(13/45, 25/12, 36/117) = 3900

LCM of 13/45, 25/12, 36/117

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 13/45,25/12,36/117

Given numbers are 13/45,25/12,36/117

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 13,25,36

Least Common Multiple of Numerators i.e. LCM of 13,25,36 is 11700.

GCF of Denominators means GCF of 45,12,117 as per the given fractions.

GCF of 45,12,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,25,36

LCM of Fractions 13/45,25/12,36/117 is 3900

Given numbers has no common factors except 1. So, there LCM is their product i.e 11700

Least Common Multiple of 13,25,36 with GCF Formula

Least Common Multiple of 13,25,36 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 13,25,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,25,36) = 1

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

GCF(13,25,36) x common factors =1 x 1 = 1

LCM(13,25,36) = ( 13 × 25 × 36 ) / 1

LCM(13,25,36) = 11700 / 1

LCM(13,25,36) = 11700


Lets's calculate GCF of 45,12,117

3 45, 12, 117
15, 4, 39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11700/3

Therefore the LCM of Fractions 13/45,25/12,36/117 is 3900

Greatest Common Factor of 45,12,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,12,117 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 45,12,117 . The biggest common factor number is the GCF number.
So the greatest common factor 45,12,117 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 13/45, 25/12, 36/117

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 13/45, 25/12, 36/117?

Answer: LCM of Numerators as per given numbers 13/45, 25/12, 36/117 is

LCM of Numerators i.e. for 13,25,36 is 11700

GCF of denominators i.e. for 45,12,117 is 3.

Thus, LCM of Fractions is 3900.Finally, LCM of Fractions for 13/45, 25/12, 36/117 is 3900.