Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/89, 664/39, 642/236 quickly i.e. 1918296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/89, 664/39, 642/236 is 1918296.
LCM(27/89, 664/39, 642/236) = 1918296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/89,664/39,642/236
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 27,664,642
Least Common Multiple of Numerators i.e. LCM of 27,664,642 is 1918296.
GCF of Denominators means GCF of 89,39,236 as per the given fractions.
GCF of 89,39,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,664,642
2 | 27, 664, 642 |
3 | 27, 332, 321 |
9, 332, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 332 x 107 = 1918296
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 27,664,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,664,642) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(27,664,642) x common factors =1 x 6 = 6
LCM(27,664,642) = ( 27 × 664 × 642 ) / 6
LCM(27,664,642) = 11509776 / 6
LCM(27,664,642) = 1918296
Lets's calculate GCF of 89,39,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1918296/1
Therefore the LCM of Fractions 27/89,664/39,642/236 is 1918296
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 89,39,236 . The biggest common factor number is the GCF number.
So the greatest common factor 89,39,236 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 27/89, 664/39, 642/236?
Answer: LCM of Numerators as per given numbers 27/89, 664/39, 642/236 is
LCM of Numerators i.e. for 27,664,642 is 1918296
GCF of denominators i.e. for 89,39,236 is 1.
Thus, LCM of Fractions is 1918296.Finally, LCM of Fractions for 27/89, 664/39, 642/236 is 1918296.