Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/283, 296/604, 665/766 quickly i.e. 196840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/283, 296/604, 665/766 is 196840.
LCM(19/283, 296/604, 665/766) = 196840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/283,296/604,665/766
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 19,296,665
Least Common Multiple of Numerators i.e. LCM of 19,296,665 is 196840.
GCF of Denominators means GCF of 283,604,766 as per the given fractions.
GCF of 283,604,766 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,296,665
19 | 19, 296, 665 |
1, 296, 35 |
∴ So the LCM of the given numbers is 19 x 1 x 296 x 35 = 196840
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 19,296,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,296,665) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(19,296,665) x common factors =1 x 19 = 19
LCM(19,296,665) = ( 19 × 296 × 665 ) / 19
LCM(19,296,665) = 3739960 / 19
LCM(19,296,665) = 196840
Lets's calculate GCF of 283,604,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196840/1
Therefore the LCM of Fractions 19/283,296/604,665/766 is 196840
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 283,604,766 . The biggest common factor number is the GCF number.
So the greatest common factor 283,604,766 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 19/283, 296/604, 665/766?
Answer: LCM of Numerators as per given numbers 19/283, 296/604, 665/766 is
LCM of Numerators i.e. for 19,296,665 is 196840
GCF of denominators i.e. for 283,604,766 is 1.
Thus, LCM of Fractions is 196840.Finally, LCM of Fractions for 19/283, 296/604, 665/766 is 196840.