Least Common Multiple of 37/89, 28/60, 792/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/89, 28/60, 792/638 quickly i.e. 205128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/89, 28/60, 792/638 is 205128.

LCM(37/89, 28/60, 792/638) = 205128

LCM of 37/89, 28/60, 792/638

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 37/89,28/60,792/638

Given numbers are 37/89,28/60,792/638

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 37,28,792

Least Common Multiple of Numerators i.e. LCM of 37,28,792 is 205128.

GCF of Denominators means GCF of 89,60,638 as per the given fractions.

GCF of 89,60,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,28,792

LCM of Fractions 37/89,28/60,792/638 is 205128

2 37, 28, 792
2 37, 14, 396
37, 7, 198

∴ So the LCM of the given numbers is 2 x 2 x 37 x 7 x 198 = 205128

Least Common Multiple of 37,28,792 with GCF Formula

Least Common Multiple of 37,28,792 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 37,28,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,28,792) = 1

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

GCF(37,28,792) x common factors =1 x 4 = 4

LCM(37,28,792) = ( 37 × 28 × 792 ) / 4

LCM(37,28,792) = 820512 / 4

LCM(37,28,792) = 205128


Lets's calculate GCF of 89,60,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205128/1

Therefore the LCM of Fractions 37/89,28/60,792/638 is 205128

Greatest Common Factor of 89,60,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,60,638 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 89,60,638 . The biggest common factor number is the GCF number.
So the greatest common factor 89,60,638 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 37/89, 28/60, 792/638

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 37/89, 28/60, 792/638?

Answer: LCM of Numerators as per given numbers 37/89, 28/60, 792/638 is

LCM of Numerators i.e. for 37,28,792 is 205128

GCF of denominators i.e. for 89,60,638 is 1.

Thus, LCM of Fractions is 205128.Finally, LCM of Fractions for 37/89, 28/60, 792/638 is 205128.