Least Common Multiple of 73/27, 48/90, 77/52, 48/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/27, 48/90, 77/52, 48/638 quickly i.e. 269808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/27, 48/90, 77/52, 48/638 is 269808.

LCM(73/27, 48/90, 77/52, 48/638) = 269808

LCM of 73/27, 48/90, 77/52, 48/638

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 73/27,48/90,77/52,48/638

Given numbers are 73/27,48/90,77/52,48/638

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 73,48,77,48

Least Common Multiple of Numerators i.e. LCM of 73,48,77,48 is 269808.

GCF of Denominators means GCF of 27,90,52,638 as per the given fractions.

GCF of 27,90,52,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,48,77,48

LCM of Fractions 73/27,48/90,77/52,48/638 is 269808

2 73, 48, 77, 48
2 73, 24, 77, 24
2 73, 12, 77, 12
2 73, 6, 77, 6
3 73, 3, 77, 3
73, 1, 77, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 73 x 1 x 77 x 1 = 269808

Least Common Multiple of 73,48,77,48 with GCF Formula

Least Common Multiple of 73,48,77,48 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 73,48,77,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,48,77,48) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(73,48,77,48) x common factors =1 x 48 = 48

LCM(73,48,77,48) = ( 73 × 48 × 77 × 48 ) / 48

LCM(73,48,77,48) = 12950784 / 48

LCM(73,48,77,48) = 269808


Lets's calculate GCF of 27,90,52,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269808/1

Therefore the LCM of Fractions 73/27,48/90,77/52,48/638 is 269808

Greatest Common Factor of 27,90,52,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,90,52,638 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

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 27,90,52,638 . The biggest common factor number is the GCF number.
So the greatest common factor 27,90,52,638 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 73/27, 48/90, 77/52, 48/638

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 73/27, 48/90, 77/52, 48/638?

Answer: LCM of Numerators as per given numbers 73/27, 48/90, 77/52, 48/638 is

LCM of Numerators i.e. for 73,48,77,48 is 269808

GCF of denominators i.e. for 27,90,52,638 is 1.

Thus, LCM of Fractions is 269808.Finally, LCM of Fractions for 73/27, 48/90, 77/52, 48/638 is 269808.