Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/938, 5725/8484 quickly i.e. 68700/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/938, 5725/8484 is 68700/14.
LCM(12/938, 5725/8484) = 68700/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/938,5725/8484
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 12,5725
Least Common Multiple of Numerators i.e. LCM of 12,5725 is 68700.
GCF of Denominators means GCF of 938,8484 as per the given fractions.
GCF of 938,8484 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,5725
Given numbers has no common factors except 1. So, there LCM is their product i.e 68700
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 12,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,5725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,5725) x common factors =1 x 1 = 1
LCM(12,5725) = ( 12 × 5725 ) / 1
LCM(12,5725) = 68700 / 1
LCM(12,5725) = 68700
Lets's calculate GCF of 938,8484
2 | 938, 8484 |
7 | 469, 4242 |
67, 606 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68700/14
Therefore the LCM of Fractions 12/938,5725/8484 is 68700/14
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 8484
List of positive integer factors of 8484 that divides 8484 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484
Greatest Common Factor
We found the factors 938,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 938,8484 is 14.
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 12/938, 5725/8484?
Answer: LCM of Numerators as per given numbers 12/938, 5725/8484 is
LCM of Numerators i.e. for 12,5725 is 68700
GCF of denominators i.e. for 938,8484 is 14.
Thus, LCM of Fractions is 68700/14.Finally, LCM of Fractions for 12/938, 5725/8484 is 68700/14.