Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/27, 71/27, 38/82, 50/850 quickly i.e. 876850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/27, 71/27, 38/82, 50/850 is 876850.
LCM(65/27, 71/27, 38/82, 50/850) = 876850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/27,71/27,38/82,50/850
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 65,71,38,50
Least Common Multiple of Numerators i.e. LCM of 65,71,38,50 is 876850.
GCF of Denominators means GCF of 27,27,82,850 as per the given fractions.
GCF of 27,27,82,850 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,71,38,50
2 | 65, 71, 38, 50 |
5 | 65, 71, 19, 25 |
13, 71, 19, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 71 x 19 x 5 = 876850
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 65,71,38,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,71,38,50) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(65,71,38,50) x common factors =1 x 10 = 10
LCM(65,71,38,50) = ( 65 × 71 × 38 × 50 ) / 10
LCM(65,71,38,50) = 8768500 / 10
LCM(65,71,38,50) = 876850
Lets's calculate GCF of 27,27,82,850
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876850/1
Therefore the LCM of Fractions 65/27,71/27,38/82,50/850 is 876850
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 27,27,82,850 . The biggest common factor number is the GCF number.
So the greatest common factor 27,27,82,850 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 65/27, 71/27, 38/82, 50/850?
Answer: LCM of Numerators as per given numbers 65/27, 71/27, 38/82, 50/850 is
LCM of Numerators i.e. for 65,71,38,50 is 876850
GCF of denominators i.e. for 27,27,82,850 is 1.
Thus, LCM of Fractions is 876850.Finally, LCM of Fractions for 65/27, 71/27, 38/82, 50/850 is 876850.