Least Common Multiple of 28/842, 13/613, 165/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/842, 13/613, 165/400 quickly i.e. 60060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/842, 13/613, 165/400 is 60060.

LCM(28/842, 13/613, 165/400) = 60060

LCM of 28/842, 13/613, 165/400

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 28/842,13/613,165/400

Given numbers are 28/842,13/613,165/400

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 28,13,165

Least Common Multiple of Numerators i.e. LCM of 28,13,165 is 60060.

GCF of Denominators means GCF of 842,613,400 as per the given fractions.

GCF of 842,613,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,13,165

LCM of Fractions 28/842,13/613,165/400 is 60060

Given numbers has no common factors except 1. So, there LCM is their product i.e 60060

Least Common Multiple of 28,13,165 with GCF Formula

Least Common Multiple of 28,13,165 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 28,13,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,13,165) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(28,13,165) x common factors =1 x 1 = 1

LCM(28,13,165) = ( 28 × 13 × 165 ) / 1

LCM(28,13,165) = 60060 / 1

LCM(28,13,165) = 60060


Lets's calculate GCF of 842,613,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/1

Therefore the LCM of Fractions 28/842,13/613,165/400 is 60060

Greatest Common Factor of 842,613,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,613,400 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 842,613,400 . The biggest common factor number is the GCF number.
So the greatest common factor 842,613,400 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 28/842, 13/613, 165/400

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 28/842, 13/613, 165/400?

Answer: LCM of Numerators as per given numbers 28/842, 13/613, 165/400 is

LCM of Numerators i.e. for 28,13,165 is 60060

GCF of denominators i.e. for 842,613,400 is 1.

Thus, LCM of Fractions is 60060.Finally, LCM of Fractions for 28/842, 13/613, 165/400 is 60060.