Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/842, 934/397, 806/930 quickly i.e. 17690894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/842, 934/397, 806/930 is 17690894.
LCM(47/842, 934/397, 806/930) = 17690894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/842,934/397,806/930
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 47,934,806
Least Common Multiple of Numerators i.e. LCM of 47,934,806 is 17690894.
GCF of Denominators means GCF of 842,397,930 as per the given fractions.
GCF of 842,397,930 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,934,806
2 | 47, 934, 806 |
47, 467, 403 |
∴ So the LCM of the given numbers is 2 x 47 x 467 x 403 = 17690894
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 47,934,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,934,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,934,806) x common factors =1 x 2 = 2
LCM(47,934,806) = ( 47 × 934 × 806 ) / 2
LCM(47,934,806) = 35381788 / 2
LCM(47,934,806) = 17690894
Lets's calculate GCF of 842,397,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17690894/1
Therefore the LCM of Fractions 47/842,934/397,806/930 is 17690894
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 842,397,930 . The biggest common factor number is the GCF number.
So the greatest common factor 842,397,930 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 47/842, 934/397, 806/930?
Answer: LCM of Numerators as per given numbers 47/842, 934/397, 806/930 is
LCM of Numerators i.e. for 47,934,806 is 17690894
GCF of denominators i.e. for 842,397,930 is 1.
Thus, LCM of Fractions is 17690894.Finally, LCM of Fractions for 47/842, 934/397, 806/930 is 17690894.