Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3726/74, 4568/828 quickly i.e. 4255092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3726/74, 4568/828 is 4255092.
LCM(3726/74, 4568/828) = 4255092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3726/74,4568/828
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 3726,4568
Least Common Multiple of Numerators i.e. LCM of 3726,4568 is 8510184.
GCF of Denominators means GCF of 74,828 as per the given fractions.
GCF of 74,828 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3726,4568
2 | 3726, 4568 |
1863, 2284 |
∴ So the LCM of the given numbers is 2 x 1863 x 2284 = 8510184
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 3726,4568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3726,4568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3726,4568) x common factors =2 x 1 = 2
LCM(3726,4568) = ( 3726 × 4568 ) / 2
LCM(3726,4568) = 17020368 / 2
LCM(3726,4568) = 8510184
Lets's calculate GCF of 74,828
2 | 74, 828 |
37, 414 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8510184/2
Therefore the LCM of Fractions 3726/74,4568/828 is 4255092
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 74,828 . The biggest common factor number is the GCF number.
So the greatest common factor 74,828 is 2.
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 3726/74, 4568/828?
Answer: LCM of Numerators as per given numbers 3726/74, 4568/828 is
LCM of Numerators i.e. for 3726,4568 is 8510184
GCF of denominators i.e. for 74,828 is 2.
Thus, LCM of Fractions is 4255092.Finally, LCM of Fractions for 3726/74, 4568/828 is 4255092.