Least Common Multiple of 239/478, 598/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 239/478, 598/438 quickly i.e. 71461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/478, 598/438 is 71461.

LCM(239/478, 598/438) = 71461

LCM of 239/478, 598/438

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 239/478,598/438

Given numbers are 239/478,598/438

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 239,598

Least Common Multiple of Numerators i.e. LCM of 239,598 is 142922.

GCF of Denominators means GCF of 478,438 as per the given fractions.

GCF of 478,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,598

LCM of Fractions 239/478,598/438 is 71461

Given numbers has no common factors except 1. So, there LCM is their product i.e 142922

Least Common Multiple of 239,598 with GCF Formula

Least Common Multiple of 239,598 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 239,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,598) = 1

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

GCF(239,598) x common factors =1 x 1 = 1

LCM(239,598) = ( 239 × 598 ) / 1

LCM(239,598) = 142922 / 1

LCM(239,598) = 142922


Lets's calculate GCF of 478,438

2 478, 438
239, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142922/2

Therefore the LCM of Fractions 239/478,598/438 is 71461

Greatest Common Factor of 478,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,438 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 478,438 . The biggest common factor number is the GCF number.
So the greatest common factor 478,438 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 239/478, 598/438

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 239/478, 598/438?

Answer: LCM of Numerators as per given numbers 239/478, 598/438 is

LCM of Numerators i.e. for 239,598 is 142922

GCF of denominators i.e. for 478,438 is 2.

Thus, LCM of Fractions is 71461.Finally, LCM of Fractions for 239/478, 598/438 is 71461.