Least Common Multiple of 20/285, 7671/7065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/285, 7671/7065 quickly i.e. 10228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/285, 7671/7065 is 10228.

LCM(20/285, 7671/7065) = 10228

LCM of 20/285, 7671/7065

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 20/285,7671/7065

Given numbers are 20/285,7671/7065

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 20,7671

Least Common Multiple of Numerators i.e. LCM of 20,7671 is 153420.

GCF of Denominators means GCF of 285,7065 as per the given fractions.

GCF of 285,7065 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,7671

LCM of Fractions 20/285,7671/7065 is 10228

Given numbers has no common factors except 1. So, there LCM is their product i.e 153420

Least Common Multiple of 20,7671 with GCF Formula

Least Common Multiple of 20,7671 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 20,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7671) = 1

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

GCF(20,7671) x common factors =1 x 1 = 1

LCM(20,7671) = ( 20 × 7671 ) / 1

LCM(20,7671) = 153420 / 1

LCM(20,7671) = 153420


Lets's calculate GCF of 285,7065

3 285, 7065
5 95, 2355
19, 471

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153420/15

Therefore the LCM of Fractions 20/285,7671/7065 is 10228

Greatest Common Factor of 285,7065 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,7065 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1,3,5,9,15,45,157,471,785,1413,2355,7065

Greatest Common Factor

We found the factors 285,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 285,7065 is 15.


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 20/285, 7671/7065

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 20/285, 7671/7065?

Answer: LCM of Numerators as per given numbers 20/285, 7671/7065 is

LCM of Numerators i.e. for 20,7671 is 153420

GCF of denominators i.e. for 285,7065 is 15.

Thus, LCM of Fractions is 10228.Finally, LCM of Fractions for 20/285, 7671/7065 is 10228.