Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7372/598, 8337/4352 quickly i.e. 30730182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7372/598, 8337/4352 is 30730182.
LCM(7372/598, 8337/4352) = 30730182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7372/598,8337/4352
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 7372,8337
Least Common Multiple of Numerators i.e. LCM of 7372,8337 is 61460364.
GCF of Denominators means GCF of 598,4352 as per the given fractions.
GCF of 598,4352 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7372,8337
Given numbers has no common factors except 1. So, there LCM is their product i.e 61460364
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 7372,8337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7372,8337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7372,8337) x common factors =1 x 1 = 1
LCM(7372,8337) = ( 7372 × 8337 ) / 1
LCM(7372,8337) = 61460364 / 1
LCM(7372,8337) = 61460364
Lets's calculate GCF of 598,4352
2 | 598, 4352 |
299, 2176 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61460364/2
Therefore the LCM of Fractions 7372/598,8337/4352 is 30730182
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 4352
List of positive integer factors of 4352 that divides 4352 without a remainder.
1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Greatest Common Factor
We found the factors 598,4352 . The biggest common factor number is the GCF number.
So the greatest common factor 598,4352 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 7372/598, 8337/4352?
Answer: LCM of Numerators as per given numbers 7372/598, 8337/4352 is
LCM of Numerators i.e. for 7372,8337 is 61460364
GCF of denominators i.e. for 598,4352 is 2.
Thus, LCM of Fractions is 30730182.Finally, LCM of Fractions for 7372/598, 8337/4352 is 30730182.