Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/120, 5906/7325 quickly i.e. 112214/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/120, 5906/7325 is 112214/5.
LCM(38/120, 5906/7325) = 112214/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/120,5906/7325
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 38,5906
Least Common Multiple of Numerators i.e. LCM of 38,5906 is 112214.
GCF of Denominators means GCF of 120,7325 as per the given fractions.
GCF of 120,7325 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,5906
2 | 38, 5906 |
19, 2953 |
∴ So the LCM of the given numbers is 2 x 19 x 2953 = 112214
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 38,5906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,5906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,5906) x common factors =2 x 1 = 2
LCM(38,5906) = ( 38 × 5906 ) / 2
LCM(38,5906) = 224428 / 2
LCM(38,5906) = 112214
Lets's calculate GCF of 120,7325
5 | 120, 7325 |
24, 1465 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112214/5
Therefore the LCM of Fractions 38/120,5906/7325 is 112214/5
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 7325
List of positive integer factors of 7325 that divides 7325 without a remainder.
1,5,25,293,1465,7325
Greatest Common Factor
We found the factors 120,7325 . The biggest common factor number is the GCF number.
So the greatest common factor 120,7325 is 5.
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 38/120, 5906/7325?
Answer: LCM of Numerators as per given numbers 38/120, 5906/7325 is
LCM of Numerators i.e. for 38,5906 is 112214
GCF of denominators i.e. for 120,7325 is 5.
Thus, LCM of Fractions is 112214/5.Finally, LCM of Fractions for 38/120, 5906/7325 is 112214/5.