Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/86, 85/61, 661/713 quickly i.e. 2022660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/86, 85/61, 661/713 is 2022660.
LCM(36/86, 85/61, 661/713) = 2022660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/86,85/61,661/713
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 36,85,661
Least Common Multiple of Numerators i.e. LCM of 36,85,661 is 2022660.
GCF of Denominators means GCF of 86,61,713 as per the given fractions.
GCF of 86,61,713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,85,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 2022660
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 36,85,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,85,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,85,661) x common factors =1 x 1 = 1
LCM(36,85,661) = ( 36 × 85 × 661 ) / 1
LCM(36,85,661) = 2022660 / 1
LCM(36,85,661) = 2022660
Lets's calculate GCF of 86,61,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2022660/1
Therefore the LCM of Fractions 36/86,85/61,661/713 is 2022660
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors 86,61,713 . The biggest common factor number is the GCF number.
So the greatest common factor 86,61,713 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 36/86, 85/61, 661/713?
Answer: LCM of Numerators as per given numbers 36/86, 85/61, 661/713 is
LCM of Numerators i.e. for 36,85,661 is 2022660
GCF of denominators i.e. for 86,61,713 is 1.
Thus, LCM of Fractions is 2022660.Finally, LCM of Fractions for 36/86, 85/61, 661/713 is 2022660.