Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/84, 84/20, 419/963 quickly i.e. 387156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/84, 84/20, 419/963 is 387156.
LCM(66/84, 84/20, 419/963) = 387156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/84,84/20,419/963
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 66,84,419
Least Common Multiple of Numerators i.e. LCM of 66,84,419 is 387156.
GCF of Denominators means GCF of 84,20,963 as per the given fractions.
GCF of 84,20,963 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,84,419
2 | 66, 84, 419 |
3 | 33, 42, 419 |
11, 14, 419 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 14 x 419 = 387156
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 66,84,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,84,419) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,84,419) x common factors =1 x 6 = 6
LCM(66,84,419) = ( 66 × 84 × 419 ) / 6
LCM(66,84,419) = 2322936 / 6
LCM(66,84,419) = 387156
Lets's calculate GCF of 84,20,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387156/1
Therefore the LCM of Fractions 66/84,84/20,419/963 is 387156
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 84,20,963 . The biggest common factor number is the GCF number.
So the greatest common factor 84,20,963 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 66/84, 84/20, 419/963?
Answer: LCM of Numerators as per given numbers 66/84, 84/20, 419/963 is
LCM of Numerators i.e. for 66,84,419 is 387156
GCF of denominators i.e. for 84,20,963 is 1.
Thus, LCM of Fractions is 387156.Finally, LCM of Fractions for 66/84, 84/20, 419/963 is 387156.