Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/21, 60/397, 61/510 quickly i.e. 3660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/21, 60/397, 61/510 is 3660.
LCM(1/21, 60/397, 61/510) = 3660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/21,60/397,61/510
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 1,60,61
Least Common Multiple of Numerators i.e. LCM of 1,60,61 is 3660.
GCF of Denominators means GCF of 21,397,510 as per the given fractions.
GCF of 21,397,510 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,60,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 3660
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 1,60,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,60,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,60,61) x common factors =1 x 1 = 1
LCM(1,60,61) = ( 1 × 60 × 61 ) / 1
LCM(1,60,61) = 3660 / 1
LCM(1,60,61) = 3660
Lets's calculate GCF of 21,397,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3660/1
Therefore the LCM of Fractions 1/21,60/397,61/510 is 3660
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
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 21,397,510 . The biggest common factor number is the GCF number.
So the greatest common factor 21,397,510 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 1/21, 60/397, 61/510?
Answer: LCM of Numerators as per given numbers 1/21, 60/397, 61/510 is
LCM of Numerators i.e. for 1,60,61 is 3660
GCF of denominators i.e. for 21,397,510 is 1.
Thus, LCM of Fractions is 3660.Finally, LCM of Fractions for 1/21, 60/397, 61/510 is 3660.