Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/594, 9121/8617 quickly i.e. 346598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/594, 9121/8617 is 346598.
LCM(38/594, 9121/8617) = 346598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/594,9121/8617
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 38,9121
Least Common Multiple of Numerators i.e. LCM of 38,9121 is 346598.
GCF of Denominators means GCF of 594,8617 as per the given fractions.
GCF of 594,8617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,9121
Given numbers has no common factors except 1. So, there LCM is their product i.e 346598
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 38,9121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,9121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,9121) x common factors =1 x 1 = 1
LCM(38,9121) = ( 38 × 9121 ) / 1
LCM(38,9121) = 346598 / 1
LCM(38,9121) = 346598
Lets's calculate GCF of 594,8617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346598/1
Therefore the LCM of Fractions 38/594,9121/8617 is 346598
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1,7,1231,8617
Greatest Common Factor
We found the factors 594,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 594,8617 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 38/594, 9121/8617?
Answer: LCM of Numerators as per given numbers 38/594, 9121/8617 is
LCM of Numerators i.e. for 38,9121 is 346598
GCF of denominators i.e. for 594,8617 is 1.
Thus, LCM of Fractions is 346598.Finally, LCM of Fractions for 38/594, 9121/8617 is 346598.