Least Common Multiple of 59/45, 60/18, 36/71, 27/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/45, 60/18, 36/71, 27/940 quickly i.e. 31860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/45, 60/18, 36/71, 27/940 is 31860.

LCM(59/45, 60/18, 36/71, 27/940) = 31860

LCM of 59/45, 60/18, 36/71, 27/940

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 59/45,60/18,36/71,27/940

Given numbers are 59/45,60/18,36/71,27/940

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 59,60,36,27

Least Common Multiple of Numerators i.e. LCM of 59,60,36,27 is 31860.

GCF of Denominators means GCF of 45,18,71,940 as per the given fractions.

GCF of 45,18,71,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,60,36,27

LCM of Fractions 59/45,60/18,36/71,27/940 is 31860

2 59, 60, 36, 27
2 59, 30, 18, 27
3 59, 15, 9, 27
3 59, 5, 3, 9
59, 5, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 59 x 5 x 1 x 3 = 31860

Least Common Multiple of 59,60,36,27 with GCF Formula

Least Common Multiple of 59,60,36,27 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 59,60,36,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,60,36,27) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(59,60,36,27) x common factors =1 x 108 = 108

LCM(59,60,36,27) = ( 59 × 60 × 36 × 27 ) / 108

LCM(59,60,36,27) = 3440880 / 108

LCM(59,60,36,27) = 31860


Lets's calculate GCF of 45,18,71,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31860/1

Therefore the LCM of Fractions 59/45,60/18,36/71,27/940 is 31860

Greatest Common Factor of 45,18,71,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,18,71,940 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 45,18,71,940 . The biggest common factor number is the GCF number.
So the greatest common factor 45,18,71,940 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 59/45, 60/18, 36/71, 27/940

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 59/45, 60/18, 36/71, 27/940?

Answer: LCM of Numerators as per given numbers 59/45, 60/18, 36/71, 27/940 is

LCM of Numerators i.e. for 59,60,36,27 is 31860

GCF of denominators i.e. for 45,18,71,940 is 1.

Thus, LCM of Fractions is 31860.Finally, LCM of Fractions for 59/45, 60/18, 36/71, 27/940 is 31860.