Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/216, 9014/7885 quickly i.e. 351546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/216, 9014/7885 is 351546.
LCM(39/216, 9014/7885) = 351546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/216,9014/7885
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 39,9014
Least Common Multiple of Numerators i.e. LCM of 39,9014 is 351546.
GCF of Denominators means GCF of 216,7885 as per the given fractions.
GCF of 216,7885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,9014
Given numbers has no common factors except 1. So, there LCM is their product i.e 351546
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 39,9014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,9014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,9014) x common factors =1 x 1 = 1
LCM(39,9014) = ( 39 × 9014 ) / 1
LCM(39,9014) = 351546 / 1
LCM(39,9014) = 351546
Lets's calculate GCF of 216,7885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351546/1
Therefore the LCM of Fractions 39/216,9014/7885 is 351546
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 7885
List of positive integer factors of 7885 that divides 7885 without a remainder.
1,5,19,83,95,415,1577,7885
Greatest Common Factor
We found the factors 216,7885 . The biggest common factor number is the GCF number.
So the greatest common factor 216,7885 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 39/216, 9014/7885?
Answer: LCM of Numerators as per given numbers 39/216, 9014/7885 is
LCM of Numerators i.e. for 39,9014 is 351546
GCF of denominators i.e. for 216,7885 is 1.
Thus, LCM of Fractions is 351546.Finally, LCM of Fractions for 39/216, 9014/7885 is 351546.