Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/96, 806/18, 479/773 quickly i.e. 166397894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/96, 806/18, 479/773 is 166397894.
LCM(862/96, 806/18, 479/773) = 166397894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/96,806/18,479/773
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 862,806,479
Least Common Multiple of Numerators i.e. LCM of 862,806,479 is 166397894.
GCF of Denominators means GCF of 96,18,773 as per the given fractions.
GCF of 96,18,773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,806,479
2 | 862, 806, 479 |
431, 403, 479 |
∴ So the LCM of the given numbers is 2 x 431 x 403 x 479 = 166397894
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 862,806,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,806,479) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(862,806,479) x common factors =1 x 2 = 2
LCM(862,806,479) = ( 862 × 806 × 479 ) / 2
LCM(862,806,479) = 332795788 / 2
LCM(862,806,479) = 166397894
Lets's calculate GCF of 96,18,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166397894/1
Therefore the LCM of Fractions 862/96,806/18,479/773 is 166397894
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 96,18,773 . The biggest common factor number is the GCF number.
So the greatest common factor 96,18,773 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 862/96, 806/18, 479/773?
Answer: LCM of Numerators as per given numbers 862/96, 806/18, 479/773 is
LCM of Numerators i.e. for 862,806,479 is 166397894
GCF of denominators i.e. for 96,18,773 is 1.
Thus, LCM of Fractions is 166397894.Finally, LCM of Fractions for 862/96, 806/18, 479/773 is 166397894.