Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9422/585, 9893/693 quickly i.e. 93211846/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9422/585, 9893/693 is 93211846/9.
LCM(9422/585, 9893/693) = 93211846/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9422/585,9893/693
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 9422,9893
Least Common Multiple of Numerators i.e. LCM of 9422,9893 is 93211846.
GCF of Denominators means GCF of 585,693 as per the given fractions.
GCF of 585,693 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9422,9893
Given numbers has no common factors except 1. So, there LCM is their product i.e 93211846
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 9422,9893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9422,9893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9422,9893) x common factors =1 x 1 = 1
LCM(9422,9893) = ( 9422 × 9893 ) / 1
LCM(9422,9893) = 93211846 / 1
LCM(9422,9893) = 93211846
Lets's calculate GCF of 585,693
3 | 585, 693 |
3 | 195, 231 |
65, 77 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93211846/9
Therefore the LCM of Fractions 9422/585,9893/693 is 93211846/9
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 585,693 . The biggest common factor number is the GCF number.
So the greatest common factor 585,693 is 9.
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 9422/585, 9893/693?
Answer: LCM of Numerators as per given numbers 9422/585, 9893/693 is
LCM of Numerators i.e. for 9422,9893 is 93211846
GCF of denominators i.e. for 585,693 is 9.
Thus, LCM of Fractions is 93211846/9.Finally, LCM of Fractions for 9422/585, 9893/693 is 93211846/9.