Least Common Multiple of 239/266, 242/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 239/266, 242/919 quickly i.e. 57838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/266, 242/919 is 57838.

LCM(239/266, 242/919) = 57838

LCM of 239/266, 242/919

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 239/266,242/919

Given numbers are 239/266,242/919

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 239,242

Least Common Multiple of Numerators i.e. LCM of 239,242 is 57838.

GCF of Denominators means GCF of 266,919 as per the given fractions.

GCF of 266,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,242

LCM of Fractions 239/266,242/919 is 57838

Given numbers has no common factors except 1. So, there LCM is their product i.e 57838

Least Common Multiple of 239,242 with GCF Formula

Least Common Multiple of 239,242 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 239,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,242) = 1

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

GCF(239,242) x common factors =1 x 1 = 1

LCM(239,242) = ( 239 × 242 ) / 1

LCM(239,242) = 57838 / 1

LCM(239,242) = 57838


Lets's calculate GCF of 266,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57838/1

Therefore the LCM of Fractions 239/266,242/919 is 57838

Greatest Common Factor of 266,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,919 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 266,919 . The biggest common factor number is the GCF number.
So the greatest common factor 266,919 is 1.


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 239/266, 242/919

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 239/266, 242/919?

Answer: LCM of Numerators as per given numbers 239/266, 242/919 is

LCM of Numerators i.e. for 239,242 is 57838

GCF of denominators i.e. for 266,919 is 1.

Thus, LCM of Fractions is 57838.Finally, LCM of Fractions for 239/266, 242/919 is 57838.