Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/805, 94/829, 206/915 quickly i.e. 706786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/805, 94/829, 206/915 is 706786.
LCM(73/805, 94/829, 206/915) = 706786
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/805,94/829,206/915
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 73,94,206
Least Common Multiple of Numerators i.e. LCM of 73,94,206 is 706786.
GCF of Denominators means GCF of 805,829,915 as per the given fractions.
GCF of 805,829,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,94,206
2 | 73, 94, 206 |
73, 47, 103 |
∴ So the LCM of the given numbers is 2 x 73 x 47 x 103 = 706786
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 73,94,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,94,206) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,94,206) x common factors =1 x 2 = 2
LCM(73,94,206) = ( 73 × 94 × 206 ) / 2
LCM(73,94,206) = 1413572 / 2
LCM(73,94,206) = 706786
Lets's calculate GCF of 805,829,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706786/1
Therefore the LCM of Fractions 73/805,94/829,206/915 is 706786
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 805,829,915 . The biggest common factor number is the GCF number.
So the greatest common factor 805,829,915 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 73/805, 94/829, 206/915?
Answer: LCM of Numerators as per given numbers 73/805, 94/829, 206/915 is
LCM of Numerators i.e. for 73,94,206 is 706786
GCF of denominators i.e. for 805,829,915 is 1.
Thus, LCM of Fractions is 706786.Finally, LCM of Fractions for 73/805, 94/829, 206/915 is 706786.