Least Common Multiple of 37/72, 68/70, 44/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/72, 68/70, 44/328 quickly i.e. 13838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/72, 68/70, 44/328 is 13838.

LCM(37/72, 68/70, 44/328) = 13838

LCM of 37/72, 68/70, 44/328

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 37/72,68/70,44/328

Given numbers are 37/72,68/70,44/328

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 37,68,44

Least Common Multiple of Numerators i.e. LCM of 37,68,44 is 27676.

GCF of Denominators means GCF of 72,70,328 as per the given fractions.

GCF of 72,70,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,68,44

LCM of Fractions 37/72,68/70,44/328 is 13838

2 37, 68, 44
2 37, 34, 22
37, 17, 11

∴ So the LCM of the given numbers is 2 x 2 x 37 x 17 x 11 = 27676

Least Common Multiple of 37,68,44 with GCF Formula

Least Common Multiple of 37,68,44 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 37,68,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,68,44) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(37,68,44) x common factors =1 x 4 = 4

LCM(37,68,44) = ( 37 × 68 × 44 ) / 4

LCM(37,68,44) = 110704 / 4

LCM(37,68,44) = 27676


Lets's calculate GCF of 72,70,328

2 72, 70, 328
36, 35, 164

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27676/2

Therefore the LCM of Fractions 37/72,68/70,44/328 is 13838

Greatest Common Factor of 72,70,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,70,328 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 72,70,328 . The biggest common factor number is the GCF number.
So the greatest common factor 72,70,328 is 2.


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 37/72, 68/70, 44/328

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 37/72, 68/70, 44/328?

Answer: LCM of Numerators as per given numbers 37/72, 68/70, 44/328 is

LCM of Numerators i.e. for 37,68,44 is 27676

GCF of denominators i.e. for 72,70,328 is 2.

Thus, LCM of Fractions is 13838.Finally, LCM of Fractions for 37/72, 68/70, 44/328 is 13838.