Least Common Multiple of 72/20, 576/48, 556/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/20, 576/48, 556/448 quickly i.e. 20016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/20, 576/48, 556/448 is 20016.

LCM(72/20, 576/48, 556/448) = 20016

LCM of 72/20, 576/48, 556/448

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 72/20,576/48,556/448

Given numbers are 72/20,576/48,556/448

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 72,576,556

Least Common Multiple of Numerators i.e. LCM of 72,576,556 is 80064.

GCF of Denominators means GCF of 20,48,448 as per the given fractions.

GCF of 20,48,448 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,576,556

LCM of Fractions 72/20,576/48,556/448 is 20016

2 72, 576, 556
2 36, 288, 278
2 18, 144, 139
3 9, 72, 139
3 3, 24, 139
1, 8, 139

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 8 x 139 = 80064

Least Common Multiple of 72,576,556 with GCF Formula

Least Common Multiple of 72,576,556 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 72,576,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,576,556) = 4

common factors(in case of two or more numbers have common factors) = 72

GCF(72,576,556) x common factors =4 x 72 = 288

LCM(72,576,556) = ( 72 × 576 × 556 ) / 288

LCM(72,576,556) = 23058432 / 288

LCM(72,576,556) = 80064


Lets's calculate GCF of 20,48,448

2 20, 48, 448
2 10, 24, 224
5, 12, 112

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80064/4

Therefore the LCM of Fractions 72/20,576/48,556/448 is 20016

Greatest Common Factor of 20,48,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,48,448 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 20,48,448 . The biggest common factor number is the GCF number.
So the greatest common factor 20,48,448 is 4.


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 72/20, 576/48, 556/448

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 72/20, 576/48, 556/448?

Answer: LCM of Numerators as per given numbers 72/20, 576/48, 556/448 is

LCM of Numerators i.e. for 72,576,556 is 80064

GCF of denominators i.e. for 20,48,448 is 4.

Thus, LCM of Fractions is 20016.Finally, LCM of Fractions for 72/20, 576/48, 556/448 is 20016.