Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 728/36, 472/3699 quickly i.e. 42952/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 728/36, 472/3699 is 42952/9.
LCM(728/36, 472/3699) = 42952/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 728/36,472/3699
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 728,472
Least Common Multiple of Numerators i.e. LCM of 728,472 is 42952.
GCF of Denominators means GCF of 36,3699 as per the given fractions.
GCF of 36,3699 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 728,472
2 | 728, 472 |
2 | 364, 236 |
2 | 182, 118 |
91, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 91 x 59 = 42952
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 728,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,472) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(728,472) x common factors =8 x 1 = 8
LCM(728,472) = ( 728 × 472 ) / 8
LCM(728,472) = 343616 / 8
LCM(728,472) = 42952
Lets's calculate GCF of 36,3699
3 | 36, 3699 |
3 | 12, 1233 |
4, 411 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42952/9
Therefore the LCM of Fractions 728/36,472/3699 is 42952/9
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 3699
List of positive integer factors of 3699 that divides 3699 without a remainder.
1,3,9,27,137,411,1233,3699
Greatest Common Factor
We found the factors 36,3699 . The biggest common factor number is the GCF number.
So the greatest common factor 36,3699 is 9.
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 728/36, 472/3699?
Answer: LCM of Numerators as per given numbers 728/36, 472/3699 is
LCM of Numerators i.e. for 728,472 is 42952
GCF of denominators i.e. for 36,3699 is 9.
Thus, LCM of Fractions is 42952/9.Finally, LCM of Fractions for 728/36, 472/3699 is 42952/9.