Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/613, 41/537, 211/510 quickly i.e. 346040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/613, 41/537, 211/510 is 346040.
LCM(40/613, 41/537, 211/510) = 346040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/613,41/537,211/510
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 40,41,211
Least Common Multiple of Numerators i.e. LCM of 40,41,211 is 346040.
GCF of Denominators means GCF of 613,537,510 as per the given fractions.
GCF of 613,537,510 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,41,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 346040
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 40,41,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,41,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,41,211) x common factors =1 x 1 = 1
LCM(40,41,211) = ( 40 × 41 × 211 ) / 1
LCM(40,41,211) = 346040 / 1
LCM(40,41,211) = 346040
Lets's calculate GCF of 613,537,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346040/1
Therefore the LCM of Fractions 40/613,41/537,211/510 is 346040
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 613,537,510 . The biggest common factor number is the GCF number.
So the greatest common factor 613,537,510 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 40/613, 41/537, 211/510?
Answer: LCM of Numerators as per given numbers 40/613, 41/537, 211/510 is
LCM of Numerators i.e. for 40,41,211 is 346040
GCF of denominators i.e. for 613,537,510 is 1.
Thus, LCM of Fractions is 346040.Finally, LCM of Fractions for 40/613, 41/537, 211/510 is 346040.