Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/621, 66/467, 428/616 quickly i.e. 918060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/621, 66/467, 428/616 is 918060.
LCM(65/621, 66/467, 428/616) = 918060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/621,66/467,428/616
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 65,66,428
Least Common Multiple of Numerators i.e. LCM of 65,66,428 is 918060.
GCF of Denominators means GCF of 621,467,616 as per the given fractions.
GCF of 621,467,616 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,66,428
2 | 65, 66, 428 |
65, 33, 214 |
∴ So the LCM of the given numbers is 2 x 65 x 33 x 214 = 918060
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 65,66,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,66,428) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,66,428) x common factors =1 x 2 = 2
LCM(65,66,428) = ( 65 × 66 × 428 ) / 2
LCM(65,66,428) = 1836120 / 2
LCM(65,66,428) = 918060
Lets's calculate GCF of 621,467,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918060/1
Therefore the LCM of Fractions 65/621,66/467,428/616 is 918060
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 621,467,616 . The biggest common factor number is the GCF number.
So the greatest common factor 621,467,616 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 65/621, 66/467, 428/616?
Answer: LCM of Numerators as per given numbers 65/621, 66/467, 428/616 is
LCM of Numerators i.e. for 65,66,428 is 918060
GCF of denominators i.e. for 621,467,616 is 1.
Thus, LCM of Fractions is 918060.Finally, LCM of Fractions for 65/621, 66/467, 428/616 is 918060.