Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 372/54, 388/39, 928/388 quickly i.e. 8371488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 372/54, 388/39, 928/388 is 8371488.
LCM(372/54, 388/39, 928/388) = 8371488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 372/54,388/39,928/388
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 372,388,928
Least Common Multiple of Numerators i.e. LCM of 372,388,928 is 8371488.
GCF of Denominators means GCF of 54,39,388 as per the given fractions.
GCF of 54,39,388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 372,388,928
2 | 372, 388, 928 |
2 | 186, 194, 464 |
93, 97, 232 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 97 x 232 = 8371488
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 372,388,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,388,928) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(372,388,928) x common factors =4 x 4 = 16
LCM(372,388,928) = ( 372 × 388 × 928 ) / 16
LCM(372,388,928) = 133943808 / 16
LCM(372,388,928) = 8371488
Lets's calculate GCF of 54,39,388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8371488/1
Therefore the LCM of Fractions 372/54,388/39,928/388 is 8371488
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 54,39,388 . The biggest common factor number is the GCF number.
So the greatest common factor 54,39,388 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 372/54, 388/39, 928/388?
Answer: LCM of Numerators as per given numbers 372/54, 388/39, 928/388 is
LCM of Numerators i.e. for 372,388,928 is 8371488
GCF of denominators i.e. for 54,39,388 is 1.
Thus, LCM of Fractions is 8371488.Finally, LCM of Fractions for 372/54, 388/39, 928/388 is 8371488.