Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/23, 81/24, 95/73, 67/565 quickly i.e. 37636245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/23, 81/24, 95/73, 67/565 is 37636245.
LCM(73/23, 81/24, 95/73, 67/565) = 37636245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/23,81/24,95/73,67/565
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 73,81,95,67
Least Common Multiple of Numerators i.e. LCM of 73,81,95,67 is 37636245.
GCF of Denominators means GCF of 23,24,73,565 as per the given fractions.
GCF of 23,24,73,565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,81,95,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 37636245
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 73,81,95,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,81,95,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,81,95,67) x common factors =1 x 1 = 1
LCM(73,81,95,67) = ( 73 × 81 × 95 × 67 ) / 1
LCM(73,81,95,67) = 37636245 / 1
LCM(73,81,95,67) = 37636245
Lets's calculate GCF of 23,24,73,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37636245/1
Therefore the LCM of Fractions 73/23,81/24,95/73,67/565 is 37636245
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 23,24,73,565 . The biggest common factor number is the GCF number.
So the greatest common factor 23,24,73,565 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 73/23, 81/24, 95/73, 67/565?
Answer: LCM of Numerators as per given numbers 73/23, 81/24, 95/73, 67/565 is
LCM of Numerators i.e. for 73,81,95,67 is 37636245
GCF of denominators i.e. for 23,24,73,565 is 1.
Thus, LCM of Fractions is 37636245.Finally, LCM of Fractions for 73/23, 81/24, 95/73, 67/565 is 37636245.