Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/605, 68/132, 428/292 quickly i.e. 472940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/605, 68/132, 428/292 is 472940.
LCM(65/605, 68/132, 428/292) = 472940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/605,68/132,428/292
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 65,68,428
Least Common Multiple of Numerators i.e. LCM of 65,68,428 is 472940.
GCF of Denominators means GCF of 605,132,292 as per the given fractions.
GCF of 605,132,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,68,428
2 | 65, 68, 428 |
2 | 65, 34, 214 |
65, 17, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 17 x 107 = 472940
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 65,68,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,68,428) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(65,68,428) x common factors =1 x 4 = 4
LCM(65,68,428) = ( 65 × 68 × 428 ) / 4
LCM(65,68,428) = 1891760 / 4
LCM(65,68,428) = 472940
Lets's calculate GCF of 605,132,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472940/1
Therefore the LCM of Fractions 65/605,68/132,428/292 is 472940
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 605,132,292 . The biggest common factor number is the GCF number.
So the greatest common factor 605,132,292 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 65/605, 68/132, 428/292?
Answer: LCM of Numerators as per given numbers 65/605, 68/132, 428/292 is
LCM of Numerators i.e. for 65,68,428 is 472940
GCF of denominators i.e. for 605,132,292 is 1.
Thus, LCM of Fractions is 472940.Finally, LCM of Fractions for 65/605, 68/132, 428/292 is 472940.