Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 482/26, 442/3362 quickly i.e. 53261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 482/26, 442/3362 is 53261.
LCM(482/26, 442/3362) = 53261
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 482/26,442/3362
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 482,442
Least Common Multiple of Numerators i.e. LCM of 482,442 is 106522.
GCF of Denominators means GCF of 26,3362 as per the given fractions.
GCF of 26,3362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 482,442
2 | 482, 442 |
241, 221 |
∴ So the LCM of the given numbers is 2 x 241 x 221 = 106522
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 482,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,442) x common factors =2 x 1 = 2
LCM(482,442) = ( 482 × 442 ) / 2
LCM(482,442) = 213044 / 2
LCM(482,442) = 106522
Lets's calculate GCF of 26,3362
2 | 26, 3362 |
13, 1681 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106522/2
Therefore the LCM of Fractions 482/26,442/3362 is 53261
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 3362
List of positive integer factors of 3362 that divides 3362 without a remainder.
1,2,41,82,1681,3362
Greatest Common Factor
We found the factors 26,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3362 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 482/26, 442/3362?
Answer: LCM of Numerators as per given numbers 482/26, 442/3362 is
LCM of Numerators i.e. for 482,442 is 106522
GCF of denominators i.e. for 26,3362 is 2.
Thus, LCM of Fractions is 53261.Finally, LCM of Fractions for 482/26, 442/3362 is 53261.