Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/27, 86/33, 774/25 quickly i.e. 10062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/27, 86/33, 774/25 is 10062.
LCM(39/27, 86/33, 774/25) = 10062
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/27,86/33,774/25
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 39,86,774
Least Common Multiple of Numerators i.e. LCM of 39,86,774 is 10062.
GCF of Denominators means GCF of 27,33,25 as per the given fractions.
GCF of 27,33,25 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,86,774
2 | 39, 86, 774 |
3 | 39, 43, 387 |
43 | 13, 43, 129 |
13, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 13 x 1 x 3 = 10062
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 39,86,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,86,774) = 1
common factors(in case of two or more numbers have common factors) = 258
GCF(39,86,774) x common factors =1 x 258 = 258
LCM(39,86,774) = ( 39 × 86 × 774 ) / 258
LCM(39,86,774) = 2595996 / 258
LCM(39,86,774) = 10062
Lets's calculate GCF of 27,33,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10062/1
Therefore the LCM of Fractions 39/27,86/33,774/25 is 10062
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 27,33,25 . The biggest common factor number is the GCF number.
So the greatest common factor 27,33,25 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 39/27, 86/33, 774/25?
Answer: LCM of Numerators as per given numbers 39/27, 86/33, 774/25 is
LCM of Numerators i.e. for 39,86,774 is 10062
GCF of denominators i.e. for 27,33,25 is 1.
Thus, LCM of Fractions is 10062.Finally, LCM of Fractions for 39/27, 86/33, 774/25 is 10062.