Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/242, 13/221, 665/142 quickly i.e. 51870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/242, 13/221, 665/142 is 51870.
LCM(78/242, 13/221, 665/142) = 51870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/242,13/221,665/142
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 78,13,665
Least Common Multiple of Numerators i.e. LCM of 78,13,665 is 51870.
GCF of Denominators means GCF of 242,221,142 as per the given fractions.
GCF of 242,221,142 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,13,665
13 | 78, 13, 665 |
6, 1, 665 |
∴ So the LCM of the given numbers is 13 x 6 x 1 x 665 = 51870
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 78,13,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,13,665) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(78,13,665) x common factors =1 x 13 = 13
LCM(78,13,665) = ( 78 × 13 × 665 ) / 13
LCM(78,13,665) = 674310 / 13
LCM(78,13,665) = 51870
Lets's calculate GCF of 242,221,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51870/1
Therefore the LCM of Fractions 78/242,13/221,665/142 is 51870
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 242,221,142 . The biggest common factor number is the GCF number.
So the greatest common factor 242,221,142 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 78/242, 13/221, 665/142?
Answer: LCM of Numerators as per given numbers 78/242, 13/221, 665/142 is
LCM of Numerators i.e. for 78,13,665 is 51870
GCF of denominators i.e. for 242,221,142 is 1.
Thus, LCM of Fractions is 51870.Finally, LCM of Fractions for 78/242, 13/221, 665/142 is 51870.