Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3828/478, 9532/8113 quickly i.e. 9122124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3828/478, 9532/8113 is 9122124.
LCM(3828/478, 9532/8113) = 9122124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3828/478,9532/8113
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 3828,9532
Least Common Multiple of Numerators i.e. LCM of 3828,9532 is 9122124.
GCF of Denominators means GCF of 478,8113 as per the given fractions.
GCF of 478,8113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3828,9532
2 | 3828, 9532 |
2 | 1914, 4766 |
957, 2383 |
∴ So the LCM of the given numbers is 2 x 2 x 957 x 2383 = 9122124
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 3828,9532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3828,9532) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3828,9532) x common factors =4 x 1 = 4
LCM(3828,9532) = ( 3828 × 9532 ) / 4
LCM(3828,9532) = 36488496 / 4
LCM(3828,9532) = 9122124
Lets's calculate GCF of 478,8113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9122124/1
Therefore the LCM of Fractions 3828/478,9532/8113 is 9122124
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 8113
List of positive integer factors of 8113 that divides 8113 without a remainder.
1,7,19,61,133,427,1159,8113
Greatest Common Factor
We found the factors 478,8113 . The biggest common factor number is the GCF number.
So the greatest common factor 478,8113 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 3828/478, 9532/8113?
Answer: LCM of Numerators as per given numbers 3828/478, 9532/8113 is
LCM of Numerators i.e. for 3828,9532 is 9122124
GCF of denominators i.e. for 478,8113 is 1.
Thus, LCM of Fractions is 9122124.Finally, LCM of Fractions for 3828/478, 9532/8113 is 9122124.