Least Common Multiple of 48/61, 20/64, 575/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/61, 20/64, 575/28 quickly i.e. 27600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/61, 20/64, 575/28 is 27600.

LCM(48/61, 20/64, 575/28) = 27600

LCM of 48/61, 20/64, 575/28

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 48/61,20/64,575/28

Given numbers are 48/61,20/64,575/28

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 48,20,575

Least Common Multiple of Numerators i.e. LCM of 48,20,575 is 27600.

GCF of Denominators means GCF of 61,64,28 as per the given fractions.

GCF of 61,64,28 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,20,575

LCM of Fractions 48/61,20/64,575/28 is 27600

2 48, 20, 575
2 24, 10, 575
5 12, 5, 575
12, 1, 115

∴ So the LCM of the given numbers is 2 x 2 x 5 x 12 x 1 x 115 = 27600

Least Common Multiple of 48,20,575 with GCF Formula

Least Common Multiple of 48,20,575 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 48,20,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,20,575) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(48,20,575) x common factors =1 x 20 = 20

LCM(48,20,575) = ( 48 × 20 × 575 ) / 20

LCM(48,20,575) = 552000 / 20

LCM(48,20,575) = 27600


Lets's calculate GCF of 61,64,28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27600/1

Therefore the LCM of Fractions 48/61,20/64,575/28 is 27600

Greatest Common Factor of 61,64,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,64,28 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 61,64,28 . The biggest common factor number is the GCF number.
So the greatest common factor 61,64,28 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 48/61, 20/64, 575/28

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 48/61, 20/64, 575/28?

Answer: LCM of Numerators as per given numbers 48/61, 20/64, 575/28 is

LCM of Numerators i.e. for 48,20,575 is 27600

GCF of denominators i.e. for 61,64,28 is 1.

Thus, LCM of Fractions is 27600.Finally, LCM of Fractions for 48/61, 20/64, 575/28 is 27600.