Utilize the LCM of Fractions Calculator to find the Least Common Multiple of Fractions 7/9, 12/27, 21/81, 27/90 easily i.e. 84 along with step by step procedure.
LCM of 7/9, 12/27, 21/81, 27/90 is 84
LCM(7/9, 12/27, 21/81, 27/90) = 84
Ex: 8/5, 3/5, 2/5 (or) 2/3, 5/7 (or) 3/5, 5/9, 7/3
Given Input Data is 7/9,12/27,21/81,27/90
As per the formula LCM of Fractions = LCM of Numerators/GCF of Denominators
LCM of Numerators means (7,12,21,27) in this case as per given inputs
Least Common Multiple of 7,12,21,27 is 756 the smallest number that is divisible by the numbers
GCF of Denominators means (9,27,81,90) in this case as per given inputs
Greatest Common Factor of 9,27,81,90 is 9 the largest number by which both the numbers can be divided
Lets's calculate LCM of 7,12,21,27
Arrange the Inputs 7,12,21,27 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.
| 3 | 7, 12, 21, 27 |
| 7 | 7, 4, 7, 9 |
| 1, 4, 1, 9 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 3 x 7 x 1 x 4 x 1 x 9 = 756
Therefore, LCM of 7,12,21,27 is 756
Step1:
Let's calculate the LCM of first two numbers
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(7, 12) = 1
LCM(7, 12) = ( 7 x 12 ) / 1
LCM(7, 12) = 84 / 1
LCM(7, 12) = 84
Step2:
Here we consider the LCM from the above i.e. 84 as first number and the next as 21
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(84, 21) = 21
LCM(84, 21) = ( 84 x 21 ) / 21
LCM(84, 21) = 1764 / 21
LCM(84, 21) = 84
Step3:
Here we consider the LCM from the above i.e. 84 as first number and the next as 27
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(84, 27) = 3
LCM(84, 27) = ( 84 x 27 ) / 3
LCM(84, 27) = 2268 / 3
LCM(84, 27) = 756
LCM of 7,12,21,27 is 756
Lets's calculate GCF of 9,27,81,90
| 3 | 9, 27, 81, 90 |
| 3 | 3, 9, 27, 30 |
| 1, 3, 9, 10 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 756/9
Therefore the LCM of Fractions 7/9,12/27,21/81,27/90 is 84
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 9,27,81,90 . The biggest common factor number is the GCF number.
So the greatest common factor 9,27,81,90 is 9.
Here are some samples of LCM of Fractions calculations.
1. What is the LCM of Fractions 7/9, 12/27, 21/81, 27/90?
LCM of Fractions 7/9, 12/27, 21/81, 27/90 is 84.
2. How to find LCM of Fractions 7/9, 12/27, 21/81, 27/90?
You can find the LCM of Fractions 7/9, 12/27, 21/81, 27/90 by dividing the LCM of Numerators (7,12,21,27) with GCF of Denominators(9,27,81,90).
3. Where do I get a detailed procedure for finding the LCM of Fractions 7/9, 12/27, 21/81, 27/90?
You can get a detailed procedure for finding the LCM of Fractions 7/9, 12/27, 21/81, 27/90 on our page.