Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/86, 73/72, 67/204 quickly i.e. 112493/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/86, 73/72, 67/204 is 112493/2.
LCM(23/86, 73/72, 67/204) = 112493/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/86,73/72,67/204
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 23,73,67
Least Common Multiple of Numerators i.e. LCM of 23,73,67 is 112493.
GCF of Denominators means GCF of 86,72,204 as per the given fractions.
GCF of 86,72,204 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,73,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 112493
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 23,73,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,73,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,73,67) x common factors =1 x 1 = 1
LCM(23,73,67) = ( 23 × 73 × 67 ) / 1
LCM(23,73,67) = 112493 / 1
LCM(23,73,67) = 112493
Lets's calculate GCF of 86,72,204
2 | 86, 72, 204 |
43, 36, 102 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112493/2
Therefore the LCM of Fractions 23/86,73/72,67/204 is 112493/2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 86,72,204 . The biggest common factor number is the GCF number.
So the greatest common factor 86,72,204 is 2.
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 23/86, 73/72, 67/204?
Answer: LCM of Numerators as per given numbers 23/86, 73/72, 67/204 is
LCM of Numerators i.e. for 23,73,67 is 112493
GCF of denominators i.e. for 86,72,204 is 2.
Thus, LCM of Fractions is 112493/2.Finally, LCM of Fractions for 23/86, 73/72, 67/204 is 112493/2.