Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 515/334, 1250/794 quickly i.e. 64375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 515/334, 1250/794 is 64375.
LCM(515/334, 1250/794) = 64375
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 515/334,1250/794
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 515,1250
Least Common Multiple of Numerators i.e. LCM of 515,1250 is 128750.
GCF of Denominators means GCF of 334,794 as per the given fractions.
GCF of 334,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 515,1250
5 | 515, 1250 |
103, 250 |
∴ So the LCM of the given numbers is 5 x 103 x 250 = 128750
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 515,1250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,1250) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,1250) x common factors =5 x 1 = 5
LCM(515,1250) = ( 515 × 1250 ) / 5
LCM(515,1250) = 643750 / 5
LCM(515,1250) = 128750
Lets's calculate GCF of 334,794
2 | 334, 794 |
167, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128750/2
Therefore the LCM of Fractions 515/334,1250/794 is 64375
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 334,794 . The biggest common factor number is the GCF number.
So the greatest common factor 334,794 is 2.
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 515/334, 1250/794?
Answer: LCM of Numerators as per given numbers 515/334, 1250/794 is
LCM of Numerators i.e. for 515,1250 is 128750
GCF of denominators i.e. for 334,794 is 2.
Thus, LCM of Fractions is 64375.Finally, LCM of Fractions for 515/334, 1250/794 is 64375.