Least Common Multiple of 60/39, 29/37, 20/32, 12/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/39, 29/37, 20/32, 12/367 quickly i.e. 1740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/39, 29/37, 20/32, 12/367 is 1740.

LCM(60/39, 29/37, 20/32, 12/367) = 1740

LCM of 60/39, 29/37, 20/32, 12/367

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 60/39,29/37,20/32,12/367

Given numbers are 60/39,29/37,20/32,12/367

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 60,29,20,12

Least Common Multiple of Numerators i.e. LCM of 60,29,20,12 is 1740.

GCF of Denominators means GCF of 39,37,32,367 as per the given fractions.

GCF of 39,37,32,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,29,20,12

LCM of Fractions 60/39,29/37,20/32,12/367 is 1740

2 60, 29, 20, 12
2 30, 29, 10, 6
3 15, 29, 5, 3
5 5, 29, 5, 1
1, 29, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 29 x 1 x 1 = 1740

Least Common Multiple of 60,29,20,12 with GCF Formula

Least Common Multiple of 60,29,20,12 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 60,29,20,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,29,20,12) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(60,29,20,12) x common factors =1 x 240 = 240

LCM(60,29,20,12) = ( 60 × 29 × 20 × 12 ) / 240

LCM(60,29,20,12) = 417600 / 240

LCM(60,29,20,12) = 1740


Lets's calculate GCF of 39,37,32,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1740/1

Therefore the LCM of Fractions 60/39,29/37,20/32,12/367 is 1740

Greatest Common Factor of 39,37,32,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,37,32,367 By Matching Biggest Common Factor Method

Factors of 39

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

1,3,13,39

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 39,37,32,367 . The biggest common factor number is the GCF number.
So the greatest common factor 39,37,32,367 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 60/39, 29/37, 20/32, 12/367

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 60/39, 29/37, 20/32, 12/367?

Answer: LCM of Numerators as per given numbers 60/39, 29/37, 20/32, 12/367 is

LCM of Numerators i.e. for 60,29,20,12 is 1740

GCF of denominators i.e. for 39,37,32,367 is 1.

Thus, LCM of Fractions is 1740.Finally, LCM of Fractions for 60/39, 29/37, 20/32, 12/367 is 1740.