Least Common Multiple of 20/258, 409/162, 502/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/258, 409/162, 502/422 quickly i.e. 1026590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/258, 409/162, 502/422 is 1026590.

LCM(20/258, 409/162, 502/422) = 1026590

LCM of 20/258, 409/162, 502/422

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 20/258,409/162,502/422

Given numbers are 20/258,409/162,502/422

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 20,409,502

Least Common Multiple of Numerators i.e. LCM of 20,409,502 is 2053180.

GCF of Denominators means GCF of 258,162,422 as per the given fractions.

GCF of 258,162,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,409,502

LCM of Fractions 20/258,409/162,502/422 is 1026590

2 20, 409, 502
10, 409, 251

∴ So the LCM of the given numbers is 2 x 10 x 409 x 251 = 2053180

Least Common Multiple of 20,409,502 with GCF Formula

Least Common Multiple of 20,409,502 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 20,409,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,409,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,409,502) x common factors =1 x 2 = 2

LCM(20,409,502) = ( 20 × 409 × 502 ) / 2

LCM(20,409,502) = 4106360 / 2

LCM(20,409,502) = 2053180


Lets's calculate GCF of 258,162,422

2 258, 162, 422
129, 81, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2053180/2

Therefore the LCM of Fractions 20/258,409/162,502/422 is 1026590

Greatest Common Factor of 258,162,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,162,422 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 258,162,422 . The biggest common factor number is the GCF number.
So the greatest common factor 258,162,422 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 20/258, 409/162, 502/422

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 20/258, 409/162, 502/422?

Answer: LCM of Numerators as per given numbers 20/258, 409/162, 502/422 is

LCM of Numerators i.e. for 20,409,502 is 2053180

GCF of denominators i.e. for 258,162,422 is 2.

Thus, LCM of Fractions is 1026590.Finally, LCM of Fractions for 20/258, 409/162, 502/422 is 1026590.