Least Common Multiple of 17/286, 20/538, 635/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/286, 20/538, 635/824 quickly i.e. 21590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/286, 20/538, 635/824 is 21590.

LCM(17/286, 20/538, 635/824) = 21590

LCM of 17/286, 20/538, 635/824

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 17/286,20/538,635/824

Given numbers are 17/286,20/538,635/824

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 17,20,635

Least Common Multiple of Numerators i.e. LCM of 17,20,635 is 43180.

GCF of Denominators means GCF of 286,538,824 as per the given fractions.

GCF of 286,538,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,20,635

LCM of Fractions 17/286,20/538,635/824 is 21590

5 17, 20, 635
17, 4, 127

∴ So the LCM of the given numbers is 5 x 17 x 4 x 127 = 43180

Least Common Multiple of 17,20,635 with GCF Formula

Least Common Multiple of 17,20,635 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 17,20,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,20,635) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(17,20,635) x common factors =1 x 5 = 5

LCM(17,20,635) = ( 17 × 20 × 635 ) / 5

LCM(17,20,635) = 215900 / 5

LCM(17,20,635) = 43180


Lets's calculate GCF of 286,538,824

2 286, 538, 824
143, 269, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43180/2

Therefore the LCM of Fractions 17/286,20/538,635/824 is 21590

Greatest Common Factor of 286,538,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,538,824 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 286,538,824 . The biggest common factor number is the GCF number.
So the greatest common factor 286,538,824 is 2.


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 17/286, 20/538, 635/824

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 17/286, 20/538, 635/824?

Answer: LCM of Numerators as per given numbers 17/286, 20/538, 635/824 is

LCM of Numerators i.e. for 17,20,635 is 43180

GCF of denominators i.e. for 286,538,824 is 2.

Thus, LCM of Fractions is 21590.Finally, LCM of Fractions for 17/286, 20/538, 635/824 is 21590.