Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/39, 63/64, 66/63, 97/14 quickly i.e. 1344420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/39, 63/64, 66/63, 97/14 is 1344420.
LCM(20/39, 63/64, 66/63, 97/14) = 1344420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/39,63/64,66/63,97/14
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 20,63,66,97
Least Common Multiple of Numerators i.e. LCM of 20,63,66,97 is 1344420.
GCF of Denominators means GCF of 39,64,63,14 as per the given fractions.
GCF of 39,64,63,14 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,63,66,97
2 | 20, 63, 66, 97 |
3 | 10, 63, 33, 97 |
10, 21, 11, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 21 x 11 x 97 = 1344420
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 20,63,66,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,63,66,97) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(20,63,66,97) x common factors =1 x 6 = 6
LCM(20,63,66,97) = ( 20 × 63 × 66 × 97 ) / 6
LCM(20,63,66,97) = 8066520 / 6
LCM(20,63,66,97) = 1344420
Lets's calculate GCF of 39,64,63,14
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344420/1
Therefore the LCM of Fractions 20/39,63/64,66/63,97/14 is 1344420
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors 39,64,63,14 . The biggest common factor number is the GCF number.
So the greatest common factor 39,64,63,14 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 20/39, 63/64, 66/63, 97/14?
Answer: LCM of Numerators as per given numbers 20/39, 63/64, 66/63, 97/14 is
LCM of Numerators i.e. for 20,63,66,97 is 1344420
GCF of denominators i.e. for 39,64,63,14 is 1.
Thus, LCM of Fractions is 1344420.Finally, LCM of Fractions for 20/39, 63/64, 66/63, 97/14 is 1344420.