Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/20, 18/63, 717/312 quickly i.e. 184986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/20, 18/63, 717/312 is 184986.
LCM(43/20, 18/63, 717/312) = 184986
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/20,18/63,717/312
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 43,18,717
Least Common Multiple of Numerators i.e. LCM of 43,18,717 is 184986.
GCF of Denominators means GCF of 20,63,312 as per the given fractions.
GCF of 20,63,312 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,18,717
3 | 43, 18, 717 |
43, 6, 239 |
∴ So the LCM of the given numbers is 3 x 43 x 6 x 239 = 184986
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 43,18,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,18,717) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(43,18,717) x common factors =1 x 3 = 3
LCM(43,18,717) = ( 43 × 18 × 717 ) / 3
LCM(43,18,717) = 554958 / 3
LCM(43,18,717) = 184986
Lets's calculate GCF of 20,63,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184986/1
Therefore the LCM of Fractions 43/20,18/63,717/312 is 184986
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 20,63,312 . The biggest common factor number is the GCF number.
So the greatest common factor 20,63,312 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 43/20, 18/63, 717/312?
Answer: LCM of Numerators as per given numbers 43/20, 18/63, 717/312 is
LCM of Numerators i.e. for 43,18,717 is 184986
GCF of denominators i.e. for 20,63,312 is 1.
Thus, LCM of Fractions is 184986.Finally, LCM of Fractions for 43/20, 18/63, 717/312 is 184986.