Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/64, 13/86, 36/89, 79/965 quickly i.e. 1367964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/64, 13/86, 36/89, 79/965 is 1367964.
LCM(74/64, 13/86, 36/89, 79/965) = 1367964
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/64,13/86,36/89,79/965
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 74,13,36,79
Least Common Multiple of Numerators i.e. LCM of 74,13,36,79 is 1367964.
GCF of Denominators means GCF of 64,86,89,965 as per the given fractions.
GCF of 64,86,89,965 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,13,36,79
2 | 74, 13, 36, 79 |
37, 13, 18, 79 |
∴ So the LCM of the given numbers is 2 x 37 x 13 x 18 x 79 = 1367964
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 74,13,36,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,13,36,79) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,13,36,79) x common factors =1 x 2 = 2
LCM(74,13,36,79) = ( 74 × 13 × 36 × 79 ) / 2
LCM(74,13,36,79) = 2735928 / 2
LCM(74,13,36,79) = 1367964
Lets's calculate GCF of 64,86,89,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1367964/1
Therefore the LCM of Fractions 74/64,13/86,36/89,79/965 is 1367964
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 64,86,89,965 . The biggest common factor number is the GCF number.
So the greatest common factor 64,86,89,965 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 74/64, 13/86, 36/89, 79/965?
Answer: LCM of Numerators as per given numbers 74/64, 13/86, 36/89, 79/965 is
LCM of Numerators i.e. for 74,13,36,79 is 1367964
GCF of denominators i.e. for 64,86,89,965 is 1.
Thus, LCM of Fractions is 1367964.Finally, LCM of Fractions for 74/64, 13/86, 36/89, 79/965 is 1367964.