Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/78, 99/56, 53/23 quickly i.e. 47223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/78, 99/56, 53/23 is 47223.
LCM(81/78, 99/56, 53/23) = 47223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/78,99/56,53/23
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 81,99,53
Least Common Multiple of Numerators i.e. LCM of 81,99,53 is 47223.
GCF of Denominators means GCF of 78,56,23 as per the given fractions.
GCF of 78,56,23 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,99,53
3 | 81, 99, 53 |
3 | 27, 33, 53 |
9, 11, 53 |
∴ So the LCM of the given numbers is 3 x 3 x 9 x 11 x 53 = 47223
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 81,99,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,99,53) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(81,99,53) x common factors =1 x 9 = 9
LCM(81,99,53) = ( 81 × 99 × 53 ) / 9
LCM(81,99,53) = 425007 / 9
LCM(81,99,53) = 47223
Lets's calculate GCF of 78,56,23
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47223/1
Therefore the LCM of Fractions 81/78,99/56,53/23 is 47223
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Greatest Common Factor
We found the factors 78,56,23 . The biggest common factor number is the GCF number.
So the greatest common factor 78,56,23 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 81/78, 99/56, 53/23?
Answer: LCM of Numerators as per given numbers 81/78, 99/56, 53/23 is
LCM of Numerators i.e. for 81,99,53 is 47223
GCF of denominators i.e. for 78,56,23 is 1.
Thus, LCM of Fractions is 47223.Finally, LCM of Fractions for 81/78, 99/56, 53/23 is 47223.