Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 422/390, 2878/239 quickly i.e. 607258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 422/390, 2878/239 is 607258.
LCM(422/390, 2878/239) = 607258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 422/390,2878/239
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 422,2878
Least Common Multiple of Numerators i.e. LCM of 422,2878 is 607258.
GCF of Denominators means GCF of 390,239 as per the given fractions.
GCF of 390,239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 422,2878
2 | 422, 2878 |
211, 1439 |
∴ So the LCM of the given numbers is 2 x 211 x 1439 = 607258
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 422,2878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,2878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,2878) x common factors =2 x 1 = 2
LCM(422,2878) = ( 422 × 2878 ) / 2
LCM(422,2878) = 1214516 / 2
LCM(422,2878) = 607258
Lets's calculate GCF of 390,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607258/1
Therefore the LCM of Fractions 422/390,2878/239 is 607258
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Greatest Common Factor
We found the factors 390,239 . The biggest common factor number is the GCF number.
So the greatest common factor 390,239 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 422/390, 2878/239?
Answer: LCM of Numerators as per given numbers 422/390, 2878/239 is
LCM of Numerators i.e. for 422,2878 is 607258
GCF of denominators i.e. for 390,239 is 1.
Thus, LCM of Fractions is 607258.Finally, LCM of Fractions for 422/390, 2878/239 is 607258.