Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/514, 20/978, 788/271 quickly i.e. 185180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/514, 20/978, 788/271 is 185180.
LCM(47/514, 20/978, 788/271) = 185180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/514,20/978,788/271
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 47,20,788
Least Common Multiple of Numerators i.e. LCM of 47,20,788 is 185180.
GCF of Denominators means GCF of 514,978,271 as per the given fractions.
GCF of 514,978,271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,20,788
2 | 47, 20, 788 |
2 | 47, 10, 394 |
47, 5, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 5 x 197 = 185180
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 47,20,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,20,788) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(47,20,788) x common factors =1 x 4 = 4
LCM(47,20,788) = ( 47 × 20 × 788 ) / 4
LCM(47,20,788) = 740720 / 4
LCM(47,20,788) = 185180
Lets's calculate GCF of 514,978,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185180/1
Therefore the LCM of Fractions 47/514,20/978,788/271 is 185180
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 514,978,271 . The biggest common factor number is the GCF number.
So the greatest common factor 514,978,271 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 47/514, 20/978, 788/271?
Answer: LCM of Numerators as per given numbers 47/514, 20/978, 788/271 is
LCM of Numerators i.e. for 47,20,788 is 185180
GCF of denominators i.e. for 514,978,271 is 1.
Thus, LCM of Fractions is 185180.Finally, LCM of Fractions for 47/514, 20/978, 788/271 is 185180.