Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/76, 44/23, 12/63, 36/328 quickly i.e. 1188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/76, 44/23, 12/63, 36/328 is 1188.
LCM(54/76, 44/23, 12/63, 36/328) = 1188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/76,44/23,12/63,36/328
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 54,44,12,36
Least Common Multiple of Numerators i.e. LCM of 54,44,12,36 is 1188.
GCF of Denominators means GCF of 76,23,63,328 as per the given fractions.
GCF of 76,23,63,328 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,44,12,36
2 | 54, 44, 12, 36 |
2 | 27, 22, 6, 18 |
3 | 27, 11, 3, 9 |
3 | 3, 11, 1, 9 |
1, 11, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 11 x 1 x 3 = 1188
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 54,44,12,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,44,12,36) = 2
common factors(in case of two or more numbers have common factors) = 432
GCF(54,44,12,36) x common factors =2 x 432 = 864
LCM(54,44,12,36) = ( 54 × 44 × 12 × 36 ) / 864
LCM(54,44,12,36) = 1026432 / 864
LCM(54,44,12,36) = 1188
Lets's calculate GCF of 76,23,63,328
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1188/1
Therefore the LCM of Fractions 54/76,44/23,12/63,36/328 is 1188
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 76,23,63,328 . The biggest common factor number is the GCF number.
So the greatest common factor 76,23,63,328 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 54/76, 44/23, 12/63, 36/328?
Answer: LCM of Numerators as per given numbers 54/76, 44/23, 12/63, 36/328 is
LCM of Numerators i.e. for 54,44,12,36 is 1188
GCF of denominators i.e. for 76,23,63,328 is 1.
Thus, LCM of Fractions is 1188.Finally, LCM of Fractions for 54/76, 44/23, 12/63, 36/328 is 1188.