Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/46, 63/73, 845/806 quickly i.e. 212940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/46, 63/73, 845/806 is 212940.
LCM(60/46, 63/73, 845/806) = 212940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/46,63/73,845/806
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 60,63,845
Least Common Multiple of Numerators i.e. LCM of 60,63,845 is 212940.
GCF of Denominators means GCF of 46,73,806 as per the given fractions.
GCF of 46,73,806 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,63,845
3 | 60, 63, 845 |
5 | 20, 21, 845 |
4, 21, 169 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 21 x 169 = 212940
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 60,63,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,63,845) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(60,63,845) x common factors =1 x 15 = 15
LCM(60,63,845) = ( 60 × 63 × 845 ) / 15
LCM(60,63,845) = 3194100 / 15
LCM(60,63,845) = 212940
Lets's calculate GCF of 46,73,806
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212940/1
Therefore the LCM of Fractions 60/46,63/73,845/806 is 212940
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 46,73,806 . The biggest common factor number is the GCF number.
So the greatest common factor 46,73,806 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 60/46, 63/73, 845/806?
Answer: LCM of Numerators as per given numbers 60/46, 63/73, 845/806 is
LCM of Numerators i.e. for 60,63,845 is 212940
GCF of denominators i.e. for 46,73,806 is 1.
Thus, LCM of Fractions is 212940.Finally, LCM of Fractions for 60/46, 63/73, 845/806 is 212940.