Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/663, 9382/5190 quickly i.e. 56292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/663, 9382/5190 is 56292.
LCM(36/663, 9382/5190) = 56292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/663,9382/5190
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 36,9382
Least Common Multiple of Numerators i.e. LCM of 36,9382 is 168876.
GCF of Denominators means GCF of 663,5190 as per the given fractions.
GCF of 663,5190 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,9382
2 | 36, 9382 |
18, 4691 |
∴ So the LCM of the given numbers is 2 x 18 x 4691 = 168876
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 36,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,9382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,9382) x common factors =2 x 1 = 2
LCM(36,9382) = ( 36 × 9382 ) / 2
LCM(36,9382) = 337752 / 2
LCM(36,9382) = 168876
Lets's calculate GCF of 663,5190
3 | 663, 5190 |
221, 1730 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168876/3
Therefore the LCM of Fractions 36/663,9382/5190 is 56292
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 5190
List of positive integer factors of 5190 that divides 5190 without a remainder.
1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190
Greatest Common Factor
We found the factors 663,5190 . The biggest common factor number is the GCF number.
So the greatest common factor 663,5190 is 3.
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 36/663, 9382/5190?
Answer: LCM of Numerators as per given numbers 36/663, 9382/5190 is
LCM of Numerators i.e. for 36,9382 is 168876
GCF of denominators i.e. for 663,5190 is 3.
Thus, LCM of Fractions is 56292.Finally, LCM of Fractions for 36/663, 9382/5190 is 56292.