Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/81, 63/55, 26/44, 73/564 quickly i.e. 4065516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/81, 63/55, 26/44, 73/564 is 4065516.
LCM(68/81, 63/55, 26/44, 73/564) = 4065516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/81,63/55,26/44,73/564
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 68,63,26,73
Least Common Multiple of Numerators i.e. LCM of 68,63,26,73 is 4065516.
GCF of Denominators means GCF of 81,55,44,564 as per the given fractions.
GCF of 81,55,44,564 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,63,26,73
2 | 68, 63, 26, 73 |
34, 63, 13, 73 |
∴ So the LCM of the given numbers is 2 x 34 x 63 x 13 x 73 = 4065516
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 68,63,26,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,63,26,73) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(68,63,26,73) x common factors =1 x 2 = 2
LCM(68,63,26,73) = ( 68 × 63 × 26 × 73 ) / 2
LCM(68,63,26,73) = 8131032 / 2
LCM(68,63,26,73) = 4065516
Lets's calculate GCF of 81,55,44,564
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4065516/1
Therefore the LCM of Fractions 68/81,63/55,26/44,73/564 is 4065516
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 81,55,44,564 . The biggest common factor number is the GCF number.
So the greatest common factor 81,55,44,564 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 68/81, 63/55, 26/44, 73/564?
Answer: LCM of Numerators as per given numbers 68/81, 63/55, 26/44, 73/564 is
LCM of Numerators i.e. for 68,63,26,73 is 4065516
GCF of denominators i.e. for 81,55,44,564 is 1.
Thus, LCM of Fractions is 4065516.Finally, LCM of Fractions for 68/81, 63/55, 26/44, 73/564 is 4065516.