Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/612, 7975/4613 quickly i.e. 15950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/612, 7975/4613 is 15950.
LCM(50/612, 7975/4613) = 15950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/612,7975/4613
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 50,7975
Least Common Multiple of Numerators i.e. LCM of 50,7975 is 15950.
GCF of Denominators means GCF of 612,4613 as per the given fractions.
GCF of 612,4613 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,7975
5 | 50, 7975 |
5 | 10, 1595 |
2, 319 |
∴ So the LCM of the given numbers is 5 x 5 x 2 x 319 = 15950
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 50,7975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,7975) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(50,7975) x common factors =25 x 1 = 25
LCM(50,7975) = ( 50 × 7975 ) / 25
LCM(50,7975) = 398750 / 25
LCM(50,7975) = 15950
Lets's calculate GCF of 612,4613
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15950/1
Therefore the LCM of Fractions 50/612,7975/4613 is 15950
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 4613
List of positive integer factors of 4613 that divides 4613 without a remainder.
1,7,659,4613
Greatest Common Factor
We found the factors 612,4613 . The biggest common factor number is the GCF number.
So the greatest common factor 612,4613 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 50/612, 7975/4613?
Answer: LCM of Numerators as per given numbers 50/612, 7975/4613 is
LCM of Numerators i.e. for 50,7975 is 15950
GCF of denominators i.e. for 612,4613 is 1.
Thus, LCM of Fractions is 15950.Finally, LCM of Fractions for 50/612, 7975/4613 is 15950.