Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9615/388, 9343/2872 quickly i.e. 89832945/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9615/388, 9343/2872 is 89832945/4.
LCM(9615/388, 9343/2872) = 89832945/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9615/388,9343/2872
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 9615,9343
Least Common Multiple of Numerators i.e. LCM of 9615,9343 is 89832945.
GCF of Denominators means GCF of 388,2872 as per the given fractions.
GCF of 388,2872 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9615,9343
Given numbers has no common factors except 1. So, there LCM is their product i.e 89832945
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 9615,9343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9615,9343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9615,9343) x common factors =1 x 1 = 1
LCM(9615,9343) = ( 9615 × 9343 ) / 1
LCM(9615,9343) = 89832945 / 1
LCM(9615,9343) = 89832945
Lets's calculate GCF of 388,2872
2 | 388, 2872 |
2 | 194, 1436 |
97, 718 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89832945/4
Therefore the LCM of Fractions 9615/388,9343/2872 is 89832945/4
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 2872
List of positive integer factors of 2872 that divides 2872 without a remainder.
1,2,4,8,359,718,1436,2872
Greatest Common Factor
We found the factors 388,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 388,2872 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 9615/388, 9343/2872?
Answer: LCM of Numerators as per given numbers 9615/388, 9343/2872 is
LCM of Numerators i.e. for 9615,9343 is 89832945
GCF of denominators i.e. for 388,2872 is 4.
Thus, LCM of Fractions is 89832945/4.Finally, LCM of Fractions for 9615/388, 9343/2872 is 89832945/4.