Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/67, 26/96, 66/89, 54/923 quickly i.e. 15444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/67, 26/96, 66/89, 54/923 is 15444.
LCM(36/67, 26/96, 66/89, 54/923) = 15444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/67,26/96,66/89,54/923
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 36,26,66,54
Least Common Multiple of Numerators i.e. LCM of 36,26,66,54 is 15444.
GCF of Denominators means GCF of 67,96,89,923 as per the given fractions.
GCF of 67,96,89,923 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,26,66,54
2 | 36, 26, 66, 54 |
3 | 18, 13, 33, 27 |
3 | 6, 13, 11, 9 |
2, 13, 11, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 13 x 11 x 3 = 15444
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 36,26,66,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,26,66,54) = 2
common factors(in case of two or more numbers have common factors) = 108
GCF(36,26,66,54) x common factors =2 x 108 = 216
LCM(36,26,66,54) = ( 36 × 26 × 66 × 54 ) / 216
LCM(36,26,66,54) = 3335904 / 216
LCM(36,26,66,54) = 15444
Lets's calculate GCF of 67,96,89,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15444/1
Therefore the LCM of Fractions 36/67,26/96,66/89,54/923 is 15444
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 67,96,89,923 . The biggest common factor number is the GCF number.
So the greatest common factor 67,96,89,923 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 36/67, 26/96, 66/89, 54/923?
Answer: LCM of Numerators as per given numbers 36/67, 26/96, 66/89, 54/923 is
LCM of Numerators i.e. for 36,26,66,54 is 15444
GCF of denominators i.e. for 67,96,89,923 is 1.
Thus, LCM of Fractions is 15444.Finally, LCM of Fractions for 36/67, 26/96, 66/89, 54/923 is 15444.