Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 591/861, 331/699 quickly i.e. 65207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 591/861, 331/699 is 65207.
LCM(591/861, 331/699) = 65207
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 591/861,331/699
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 591,331
Least Common Multiple of Numerators i.e. LCM of 591,331 is 195621.
GCF of Denominators means GCF of 861,699 as per the given fractions.
GCF of 861,699 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 591,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 195621
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 591,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,331) x common factors =1 x 1 = 1
LCM(591,331) = ( 591 × 331 ) / 1
LCM(591,331) = 195621 / 1
LCM(591,331) = 195621
Lets's calculate GCF of 861,699
3 | 861, 699 |
287, 233 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195621/3
Therefore the LCM of Fractions 591/861,331/699 is 65207
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 861,699 . The biggest common factor number is the GCF number.
So the greatest common factor 861,699 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 591/861, 331/699?
Answer: LCM of Numerators as per given numbers 591/861, 331/699 is
LCM of Numerators i.e. for 591,331 is 195621
GCF of denominators i.e. for 861,699 is 3.
Thus, LCM of Fractions is 65207.Finally, LCM of Fractions for 591/861, 331/699 is 65207.