Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 244/70, 513/9526 quickly i.e. 62586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 244/70, 513/9526 is 62586.
LCM(244/70, 513/9526) = 62586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 244/70,513/9526
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 244,513
Least Common Multiple of Numerators i.e. LCM of 244,513 is 125172.
GCF of Denominators means GCF of 70,9526 as per the given fractions.
GCF of 70,9526 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 244,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 125172
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 244,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(244,513) x common factors =1 x 1 = 1
LCM(244,513) = ( 244 × 513 ) / 1
LCM(244,513) = 125172 / 1
LCM(244,513) = 125172
Lets's calculate GCF of 70,9526
2 | 70, 9526 |
35, 4763 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125172/2
Therefore the LCM of Fractions 244/70,513/9526 is 62586
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 9526
List of positive integer factors of 9526 that divides 9526 without a remainder.
1,2,11,22,433,866,4763,9526
Greatest Common Factor
We found the factors 70,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 70,9526 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 244/70, 513/9526?
Answer: LCM of Numerators as per given numbers 244/70, 513/9526 is
LCM of Numerators i.e. for 244,513 is 125172
GCF of denominators i.e. for 70,9526 is 2.
Thus, LCM of Fractions is 62586.Finally, LCM of Fractions for 244/70, 513/9526 is 62586.