Least Common Multiple of 18/380, 609/798, 163/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/380, 609/798, 163/241 quickly i.e. 595602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/380, 609/798, 163/241 is 595602.

LCM(18/380, 609/798, 163/241) = 595602

LCM of 18/380, 609/798, 163/241

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 18/380,609/798,163/241

Given numbers are 18/380,609/798,163/241

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 18,609,163

Least Common Multiple of Numerators i.e. LCM of 18,609,163 is 595602.

GCF of Denominators means GCF of 380,798,241 as per the given fractions.

GCF of 380,798,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,609,163

LCM of Fractions 18/380,609/798,163/241 is 595602

3 18, 609, 163
6, 203, 163

∴ So the LCM of the given numbers is 3 x 6 x 203 x 163 = 595602

Least Common Multiple of 18,609,163 with GCF Formula

Least Common Multiple of 18,609,163 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 18,609,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,609,163) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(18,609,163) x common factors =1 x 3 = 3

LCM(18,609,163) = ( 18 × 609 × 163 ) / 3

LCM(18,609,163) = 1786806 / 3

LCM(18,609,163) = 595602


Lets's calculate GCF of 380,798,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 595602/1

Therefore the LCM of Fractions 18/380,609/798,163/241 is 595602

Greatest Common Factor of 380,798,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,798,241 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 380,798,241 . The biggest common factor number is the GCF number.
So the greatest common factor 380,798,241 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 18/380, 609/798, 163/241

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 18/380, 609/798, 163/241?

Answer: LCM of Numerators as per given numbers 18/380, 609/798, 163/241 is

LCM of Numerators i.e. for 18,609,163 is 595602

GCF of denominators i.e. for 380,798,241 is 1.

Thus, LCM of Fractions is 595602.Finally, LCM of Fractions for 18/380, 609/798, 163/241 is 595602.