Least Common Multiple of 36/45, 56/39, 51/96, 39/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/45, 56/39, 51/96, 39/609 quickly i.e. 37128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/45, 56/39, 51/96, 39/609 is 37128.

LCM(36/45, 56/39, 51/96, 39/609) = 37128

LCM of 36/45, 56/39, 51/96, 39/609

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 36/45,56/39,51/96,39/609

Given numbers are 36/45,56/39,51/96,39/609

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 36,56,51,39

Least Common Multiple of Numerators i.e. LCM of 36,56,51,39 is 111384.

GCF of Denominators means GCF of 45,39,96,609 as per the given fractions.

GCF of 45,39,96,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,56,51,39

LCM of Fractions 36/45,56/39,51/96,39/609 is 37128

2 36, 56, 51, 39
2 18, 28, 51, 39
3 9, 14, 51, 39
3, 14, 17, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 14 x 17 x 13 = 111384

Least Common Multiple of 36,56,51,39 with GCF Formula

Least Common Multiple of 36,56,51,39 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 36,56,51,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,56,51,39) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(36,56,51,39) x common factors =1 x 36 = 36

LCM(36,56,51,39) = ( 36 × 56 × 51 × 39 ) / 36

LCM(36,56,51,39) = 4009824 / 36

LCM(36,56,51,39) = 111384


Lets's calculate GCF of 45,39,96,609

3 45, 39, 96, 609
15, 13, 32, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111384/3

Therefore the LCM of Fractions 36/45,56/39,51/96,39/609 is 37128

Greatest Common Factor of 45,39,96,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,39,96,609 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 39

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

1,3,13,39

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 45,39,96,609 . The biggest common factor number is the GCF number.
So the greatest common factor 45,39,96,609 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 36/45, 56/39, 51/96, 39/609

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 36/45, 56/39, 51/96, 39/609?

Answer: LCM of Numerators as per given numbers 36/45, 56/39, 51/96, 39/609 is

LCM of Numerators i.e. for 36,56,51,39 is 111384

GCF of denominators i.e. for 45,39,96,609 is 3.

Thus, LCM of Fractions is 37128.Finally, LCM of Fractions for 36/45, 56/39, 51/96, 39/609 is 37128.