Least Common Multiple of 73/720, 32/216, 648/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/720, 32/216, 648/252 quickly i.e. 5256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/720, 32/216, 648/252 is 5256.

LCM(73/720, 32/216, 648/252) = 5256

LCM of 73/720, 32/216, 648/252

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 73/720,32/216,648/252

Given numbers are 73/720,32/216,648/252

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 73,32,648

Least Common Multiple of Numerators i.e. LCM of 73,32,648 is 189216.

GCF of Denominators means GCF of 720,216,252 as per the given fractions.

GCF of 720,216,252 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,32,648

LCM of Fractions 73/720,32/216,648/252 is 5256

2 73, 32, 648
2 73, 16, 324
2 73, 8, 162
73, 4, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 4 x 81 = 189216

Least Common Multiple of 73,32,648 with GCF Formula

Least Common Multiple of 73,32,648 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 73,32,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,32,648) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(73,32,648) x common factors =1 x 8 = 8

LCM(73,32,648) = ( 73 × 32 × 648 ) / 8

LCM(73,32,648) = 1513728 / 8

LCM(73,32,648) = 189216


Lets's calculate GCF of 720,216,252

2 720, 216, 252
2 360, 108, 126
3 180, 54, 63
3 60, 18, 21
20, 6, 7

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189216/36

Therefore the LCM of Fractions 73/720,32/216,648/252 is 5256

Greatest Common Factor of 720,216,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,216,252 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 720,216,252 . The biggest common factor number is the GCF number.
So the greatest common factor 720,216,252 is 36.


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 73/720, 32/216, 648/252

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 73/720, 32/216, 648/252?

Answer: LCM of Numerators as per given numbers 73/720, 32/216, 648/252 is

LCM of Numerators i.e. for 73,32,648 is 189216

GCF of denominators i.e. for 720,216,252 is 36.

Thus, LCM of Fractions is 5256.Finally, LCM of Fractions for 73/720, 32/216, 648/252 is 5256.