Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 355/20, 490/66, 531/408 quickly i.e. 9236745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 355/20, 490/66, 531/408 is 9236745.
LCM(355/20, 490/66, 531/408) = 9236745
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 355/20,490/66,531/408
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 355,490,531
Least Common Multiple of Numerators i.e. LCM of 355,490,531 is 18473490.
GCF of Denominators means GCF of 20,66,408 as per the given fractions.
GCF of 20,66,408 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 355,490,531
5 | 355, 490, 531 |
71, 98, 531 |
∴ So the LCM of the given numbers is 5 x 71 x 98 x 531 = 18473490
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 355,490,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,490,531) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(355,490,531) x common factors =1 x 5 = 5
LCM(355,490,531) = ( 355 × 490 × 531 ) / 5
LCM(355,490,531) = 92367450 / 5
LCM(355,490,531) = 18473490
Lets's calculate GCF of 20,66,408
2 | 20, 66, 408 |
10, 33, 204 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18473490/2
Therefore the LCM of Fractions 355/20,490/66,531/408 is 9236745
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 20,66,408 . The biggest common factor number is the GCF number.
So the greatest common factor 20,66,408 is 2.
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 355/20, 490/66, 531/408?
Answer: LCM of Numerators as per given numbers 355/20, 490/66, 531/408 is
LCM of Numerators i.e. for 355,490,531 is 18473490
GCF of denominators i.e. for 20,66,408 is 2.
Thus, LCM of Fractions is 9236745.Finally, LCM of Fractions for 355/20, 490/66, 531/408 is 9236745.