Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 338/46, 201/19, 507/610 quickly i.e. 67938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 338/46, 201/19, 507/610 is 67938.
LCM(338/46, 201/19, 507/610) = 67938
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 338/46,201/19,507/610
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 338,201,507
Least Common Multiple of Numerators i.e. LCM of 338,201,507 is 67938.
GCF of Denominators means GCF of 46,19,610 as per the given fractions.
GCF of 46,19,610 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 338,201,507
3 | 338, 201, 507 |
13 | 338, 67, 169 |
13 | 26, 67, 13 |
2, 67, 1 |
∴ So the LCM of the given numbers is 3 x 13 x 13 x 2 x 67 x 1 = 67938
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 338,201,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,201,507) = 1
common factors(in case of two or more numbers have common factors) = 507
GCF(338,201,507) x common factors =1 x 507 = 507
LCM(338,201,507) = ( 338 × 201 × 507 ) / 507
LCM(338,201,507) = 34444566 / 507
LCM(338,201,507) = 67938
Lets's calculate GCF of 46,19,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67938/1
Therefore the LCM of Fractions 338/46,201/19,507/610 is 67938
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 46,19,610 . The biggest common factor number is the GCF number.
So the greatest common factor 46,19,610 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 338/46, 201/19, 507/610?
Answer: LCM of Numerators as per given numbers 338/46, 201/19, 507/610 is
LCM of Numerators i.e. for 338,201,507 is 67938
GCF of denominators i.e. for 46,19,610 is 1.
Thus, LCM of Fractions is 67938.Finally, LCM of Fractions for 338/46, 201/19, 507/610 is 67938.