Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/47, 805/41, 805/771 quickly i.e. 12880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/47, 805/41, 805/771 is 12880.
LCM(16/47, 805/41, 805/771) = 12880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/47,805/41,805/771
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 16,805,805
Least Common Multiple of Numerators i.e. LCM of 16,805,805 is 12880.
GCF of Denominators means GCF of 47,41,771 as per the given fractions.
GCF of 47,41,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,805,805
5 | 16, 805, 805 |
7 | 16, 161, 161 |
23 | 16, 23, 23 |
16, 1, 1 |
∴ So the LCM of the given numbers is 5 x 7 x 23 x 16 x 1 x 1 = 12880
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 16,805,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,805,805) = 1
common factors(in case of two or more numbers have common factors) = 805
GCF(16,805,805) x common factors =1 x 805 = 805
LCM(16,805,805) = ( 16 × 805 × 805 ) / 805
LCM(16,805,805) = 10368400 / 805
LCM(16,805,805) = 12880
Lets's calculate GCF of 47,41,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12880/1
Therefore the LCM of Fractions 16/47,805/41,805/771 is 12880
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 47,41,771 . The biggest common factor number is the GCF number.
So the greatest common factor 47,41,771 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 16/47, 805/41, 805/771?
Answer: LCM of Numerators as per given numbers 16/47, 805/41, 805/771 is
LCM of Numerators i.e. for 16,805,805 is 12880
GCF of denominators i.e. for 47,41,771 is 1.
Thus, LCM of Fractions is 12880.Finally, LCM of Fractions for 16/47, 805/41, 805/771 is 12880.