Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/167, 50/494, 959/408 quickly i.e. 143850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/167, 50/494, 959/408 is 143850.
LCM(30/167, 50/494, 959/408) = 143850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/167,50/494,959/408
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 30,50,959
Least Common Multiple of Numerators i.e. LCM of 30,50,959 is 143850.
GCF of Denominators means GCF of 167,494,408 as per the given fractions.
GCF of 167,494,408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,50,959
2 | 30, 50, 959 |
5 | 15, 25, 959 |
3, 5, 959 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 5 x 959 = 143850
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 30,50,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,50,959) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(30,50,959) x common factors =1 x 10 = 10
LCM(30,50,959) = ( 30 × 50 × 959 ) / 10
LCM(30,50,959) = 1438500 / 10
LCM(30,50,959) = 143850
Lets's calculate GCF of 167,494,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143850/1
Therefore the LCM of Fractions 30/167,50/494,959/408 is 143850
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 167,494,408 . The biggest common factor number is the GCF number.
So the greatest common factor 167,494,408 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 30/167, 50/494, 959/408?
Answer: LCM of Numerators as per given numbers 30/167, 50/494, 959/408 is
LCM of Numerators i.e. for 30,50,959 is 143850
GCF of denominators i.e. for 167,494,408 is 1.
Thus, LCM of Fractions is 143850.Finally, LCM of Fractions for 30/167, 50/494, 959/408 is 143850.