Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/966, 21/225, 469/617 quickly i.e. 91455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/966, 21/225, 469/617 is 91455.
LCM(65/966, 21/225, 469/617) = 91455
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/966,21/225,469/617
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 65,21,469
Least Common Multiple of Numerators i.e. LCM of 65,21,469 is 91455.
GCF of Denominators means GCF of 966,225,617 as per the given fractions.
GCF of 966,225,617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,21,469
7 | 65, 21, 469 |
65, 3, 67 |
∴ So the LCM of the given numbers is 7 x 65 x 3 x 67 = 91455
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 65,21,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,21,469) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(65,21,469) x common factors =1 x 7 = 7
LCM(65,21,469) = ( 65 × 21 × 469 ) / 7
LCM(65,21,469) = 640185 / 7
LCM(65,21,469) = 91455
Lets's calculate GCF of 966,225,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91455/1
Therefore the LCM of Fractions 65/966,21/225,469/617 is 91455
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 966,225,617 . The biggest common factor number is the GCF number.
So the greatest common factor 966,225,617 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 65/966, 21/225, 469/617?
Answer: LCM of Numerators as per given numbers 65/966, 21/225, 469/617 is
LCM of Numerators i.e. for 65,21,469 is 91455
GCF of denominators i.e. for 966,225,617 is 1.
Thus, LCM of Fractions is 91455.Finally, LCM of Fractions for 65/966, 21/225, 469/617 is 91455.