Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/663, 9318/393 quickly i.e. 441052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/663, 9318/393 is 441052.
LCM(852/663, 9318/393) = 441052
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/663,9318/393
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 852,9318
Least Common Multiple of Numerators i.e. LCM of 852,9318 is 1323156.
GCF of Denominators means GCF of 663,393 as per the given fractions.
GCF of 663,393 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,9318
2 | 852, 9318 |
3 | 426, 4659 |
142, 1553 |
∴ So the LCM of the given numbers is 2 x 3 x 142 x 1553 = 1323156
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 852,9318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,9318) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(852,9318) x common factors =6 x 1 = 6
LCM(852,9318) = ( 852 × 9318 ) / 6
LCM(852,9318) = 7938936 / 6
LCM(852,9318) = 1323156
Lets's calculate GCF of 663,393
3 | 663, 393 |
221, 131 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1323156/3
Therefore the LCM of Fractions 852/663,9318/393 is 441052
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 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 663,393 . The biggest common factor number is the GCF number.
So the greatest common factor 663,393 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 852/663, 9318/393?
Answer: LCM of Numerators as per given numbers 852/663, 9318/393 is
LCM of Numerators i.e. for 852,9318 is 1323156
GCF of denominators i.e. for 663,393 is 3.
Thus, LCM of Fractions is 441052.Finally, LCM of Fractions for 852/663, 9318/393 is 441052.