Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 817/52, 633/9502 quickly i.e. 517161/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 817/52, 633/9502 is 517161/2.
LCM(817/52, 633/9502) = 517161/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 817/52,633/9502
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 817,633
Least Common Multiple of Numerators i.e. LCM of 817,633 is 517161.
GCF of Denominators means GCF of 52,9502 as per the given fractions.
GCF of 52,9502 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 817,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 517161
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 817,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,633) x common factors =1 x 1 = 1
LCM(817,633) = ( 817 × 633 ) / 1
LCM(817,633) = 517161 / 1
LCM(817,633) = 517161
Lets's calculate GCF of 52,9502
2 | 52, 9502 |
26, 4751 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517161/2
Therefore the LCM of Fractions 817/52,633/9502 is 517161/2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 9502
List of positive integer factors of 9502 that divides 9502 without a remainder.
1,2,4751,9502
Greatest Common Factor
We found the factors 52,9502 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9502 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 817/52, 633/9502?
Answer: LCM of Numerators as per given numbers 817/52, 633/9502 is
LCM of Numerators i.e. for 817,633 is 517161
GCF of denominators i.e. for 52,9502 is 2.
Thus, LCM of Fractions is 517161/2.Finally, LCM of Fractions for 817/52, 633/9502 is 517161/2.