Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 935/589, 7322/663 quickly i.e. 6846070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 935/589, 7322/663 is 6846070.
LCM(935/589, 7322/663) = 6846070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 935/589,7322/663
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 935,7322
Least Common Multiple of Numerators i.e. LCM of 935,7322 is 6846070.
GCF of Denominators means GCF of 589,663 as per the given fractions.
GCF of 589,663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 935,7322
Given numbers has no common factors except 1. So, there LCM is their product i.e 6846070
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 935,7322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,7322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,7322) x common factors =1 x 1 = 1
LCM(935,7322) = ( 935 × 7322 ) / 1
LCM(935,7322) = 6846070 / 1
LCM(935,7322) = 6846070
Lets's calculate GCF of 589,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6846070/1
Therefore the LCM of Fractions 935/589,7322/663 is 6846070
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 589,663 . The biggest common factor number is the GCF number.
So the greatest common factor 589,663 is 1.
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 935/589, 7322/663?
Answer: LCM of Numerators as per given numbers 935/589, 7322/663 is
LCM of Numerators i.e. for 935,7322 is 6846070
GCF of denominators i.e. for 589,663 is 1.
Thus, LCM of Fractions is 6846070.Finally, LCM of Fractions for 935/589, 7322/663 is 6846070.