Least Common Multiple of 20/38, 61/18, 259/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/38, 61/18, 259/304 quickly i.e. 157990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/38, 61/18, 259/304 is 157990.

LCM(20/38, 61/18, 259/304) = 157990

LCM of 20/38, 61/18, 259/304

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 20/38,61/18,259/304

Given numbers are 20/38,61/18,259/304

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 20,61,259

Least Common Multiple of Numerators i.e. LCM of 20,61,259 is 315980.

GCF of Denominators means GCF of 38,18,304 as per the given fractions.

GCF of 38,18,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,61,259

LCM of Fractions 20/38,61/18,259/304 is 157990

Given numbers has no common factors except 1. So, there LCM is their product i.e 315980

Least Common Multiple of 20,61,259 with GCF Formula

Least Common Multiple of 20,61,259 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 20,61,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,61,259) = 1

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

GCF(20,61,259) x common factors =1 x 1 = 1

LCM(20,61,259) = ( 20 × 61 × 259 ) / 1

LCM(20,61,259) = 315980 / 1

LCM(20,61,259) = 315980


Lets's calculate GCF of 38,18,304

2 38, 18, 304
19, 9, 152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315980/2

Therefore the LCM of Fractions 20/38,61/18,259/304 is 157990

Greatest Common Factor of 38,18,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,18,304 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 38,18,304 . The biggest common factor number is the GCF number.
So the greatest common factor 38,18,304 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 20/38, 61/18, 259/304

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 20/38, 61/18, 259/304?

Answer: LCM of Numerators as per given numbers 20/38, 61/18, 259/304 is

LCM of Numerators i.e. for 20,61,259 is 315980

GCF of denominators i.e. for 38,18,304 is 2.

Thus, LCM of Fractions is 157990.Finally, LCM of Fractions for 20/38, 61/18, 259/304 is 157990.