Least Common Multiple of 28/241, 20/668, 575/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/241, 20/668, 575/704 quickly i.e. 16100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/241, 20/668, 575/704 is 16100.

LCM(28/241, 20/668, 575/704) = 16100

LCM of 28/241, 20/668, 575/704

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 28/241,20/668,575/704

Given numbers are 28/241,20/668,575/704

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 28,20,575

Least Common Multiple of Numerators i.e. LCM of 28,20,575 is 16100.

GCF of Denominators means GCF of 241,668,704 as per the given fractions.

GCF of 241,668,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,20,575

LCM of Fractions 28/241,20/668,575/704 is 16100

2 28, 20, 575
2 14, 10, 575
5 7, 5, 575
7, 1, 115

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 115 = 16100

Least Common Multiple of 28,20,575 with GCF Formula

Least Common Multiple of 28,20,575 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 28,20,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,20,575) = 1

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

GCF(28,20,575) x common factors =1 x 20 = 20

LCM(28,20,575) = ( 28 × 20 × 575 ) / 20

LCM(28,20,575) = 322000 / 20

LCM(28,20,575) = 16100


Lets's calculate GCF of 241,668,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16100/1

Therefore the LCM of Fractions 28/241,20/668,575/704 is 16100

Greatest Common Factor of 241,668,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,668,704 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 241,668,704 . The biggest common factor number is the GCF number.
So the greatest common factor 241,668,704 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 28/241, 20/668, 575/704

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 28/241, 20/668, 575/704?

Answer: LCM of Numerators as per given numbers 28/241, 20/668, 575/704 is

LCM of Numerators i.e. for 28,20,575 is 16100

GCF of denominators i.e. for 241,668,704 is 1.

Thus, LCM of Fractions is 16100.Finally, LCM of Fractions for 28/241, 20/668, 575/704 is 16100.