Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8932/393, 2290/3585 quickly i.e. 10227140/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8932/393, 2290/3585 is 10227140/3.
LCM(8932/393, 2290/3585) = 10227140/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8932/393,2290/3585
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 8932,2290
Least Common Multiple of Numerators i.e. LCM of 8932,2290 is 10227140.
GCF of Denominators means GCF of 393,3585 as per the given fractions.
GCF of 393,3585 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8932,2290
2 | 8932, 2290 |
4466, 1145 |
∴ So the LCM of the given numbers is 2 x 4466 x 1145 = 10227140
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 8932,2290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8932,2290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8932,2290) x common factors =2 x 1 = 2
LCM(8932,2290) = ( 8932 × 2290 ) / 2
LCM(8932,2290) = 20454280 / 2
LCM(8932,2290) = 10227140
Lets's calculate GCF of 393,3585
3 | 393, 3585 |
131, 1195 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10227140/3
Therefore the LCM of Fractions 8932/393,2290/3585 is 10227140/3
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 3585
List of positive integer factors of 3585 that divides 3585 without a remainder.
1,3,5,15,239,717,1195,3585
Greatest Common Factor
We found the factors 393,3585 . The biggest common factor number is the GCF number.
So the greatest common factor 393,3585 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 8932/393, 2290/3585?
Answer: LCM of Numerators as per given numbers 8932/393, 2290/3585 is
LCM of Numerators i.e. for 8932,2290 is 10227140
GCF of denominators i.e. for 393,3585 is 3.
Thus, LCM of Fractions is 10227140/3.Finally, LCM of Fractions for 8932/393, 2290/3585 is 10227140/3.