Least Common Multiple of 37/36, 16/80, 16/71, 72/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/36, 16/80, 16/71, 72/594 quickly i.e. 5328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/36, 16/80, 16/71, 72/594 is 5328.

LCM(37/36, 16/80, 16/71, 72/594) = 5328

LCM of 37/36, 16/80, 16/71, 72/594

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 37/36,16/80,16/71,72/594

Given numbers are 37/36,16/80,16/71,72/594

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 37,16,16,72

Least Common Multiple of Numerators i.e. LCM of 37,16,16,72 is 5328.

GCF of Denominators means GCF of 36,80,71,594 as per the given fractions.

GCF of 36,80,71,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,16,16,72

LCM of Fractions 37/36,16/80,16/71,72/594 is 5328

2 37, 16, 16, 72
2 37, 8, 8, 36
2 37, 4, 4, 18
2 37, 2, 2, 9
37, 1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 1 x 1 x 9 = 5328

Least Common Multiple of 37,16,16,72 with GCF Formula

Least Common Multiple of 37,16,16,72 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 37,16,16,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,16,16,72) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(37,16,16,72) x common factors =1 x 128 = 128

LCM(37,16,16,72) = ( 37 × 16 × 16 × 72 ) / 128

LCM(37,16,16,72) = 681984 / 128

LCM(37,16,16,72) = 5328


Lets's calculate GCF of 36,80,71,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5328/1

Therefore the LCM of Fractions 37/36,16/80,16/71,72/594 is 5328

Greatest Common Factor of 36,80,71,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,80,71,594 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 71

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

1,71

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 36,80,71,594 . The biggest common factor number is the GCF number.
So the greatest common factor 36,80,71,594 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 37/36, 16/80, 16/71, 72/594

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 37/36, 16/80, 16/71, 72/594?

Answer: LCM of Numerators as per given numbers 37/36, 16/80, 16/71, 72/594 is

LCM of Numerators i.e. for 37,16,16,72 is 5328

GCF of denominators i.e. for 36,80,71,594 is 1.

Thus, LCM of Fractions is 5328.Finally, LCM of Fractions for 37/36, 16/80, 16/71, 72/594 is 5328.