Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3235/236, 9868/5300 quickly i.e. 7980745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3235/236, 9868/5300 is 7980745.
LCM(3235/236, 9868/5300) = 7980745
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3235/236,9868/5300
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 3235,9868
Least Common Multiple of Numerators i.e. LCM of 3235,9868 is 31922980.
GCF of Denominators means GCF of 236,5300 as per the given fractions.
GCF of 236,5300 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3235,9868
Given numbers has no common factors except 1. So, there LCM is their product i.e 31922980
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 3235,9868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3235,9868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3235,9868) x common factors =1 x 1 = 1
LCM(3235,9868) = ( 3235 × 9868 ) / 1
LCM(3235,9868) = 31922980 / 1
LCM(3235,9868) = 31922980
Lets's calculate GCF of 236,5300
2 | 236, 5300 |
2 | 118, 2650 |
59, 1325 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31922980/4
Therefore the LCM of Fractions 3235/236,9868/5300 is 7980745
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 5300
List of positive integer factors of 5300 that divides 5300 without a remainder.
1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300
Greatest Common Factor
We found the factors 236,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 236,5300 is 4.
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 3235/236, 9868/5300?
Answer: LCM of Numerators as per given numbers 3235/236, 9868/5300 is
LCM of Numerators i.e. for 3235,9868 is 31922980
GCF of denominators i.e. for 236,5300 is 4.
Thus, LCM of Fractions is 7980745.Finally, LCM of Fractions for 3235/236, 9868/5300 is 7980745.