Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/192, 69/695, 636/489 quickly i.e. 277932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/192, 69/695, 636/489 is 277932.
LCM(19/192, 69/695, 636/489) = 277932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/192,69/695,636/489
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 19,69,636
Least Common Multiple of Numerators i.e. LCM of 19,69,636 is 277932.
GCF of Denominators means GCF of 192,695,489 as per the given fractions.
GCF of 192,695,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,69,636
3 | 19, 69, 636 |
19, 23, 212 |
∴ So the LCM of the given numbers is 3 x 19 x 23 x 212 = 277932
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 19,69,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,69,636) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(19,69,636) x common factors =1 x 3 = 3
LCM(19,69,636) = ( 19 × 69 × 636 ) / 3
LCM(19,69,636) = 833796 / 3
LCM(19,69,636) = 277932
Lets's calculate GCF of 192,695,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277932/1
Therefore the LCM of Fractions 19/192,69/695,636/489 is 277932
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 192,695,489 . The biggest common factor number is the GCF number.
So the greatest common factor 192,695,489 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 19/192, 69/695, 636/489?
Answer: LCM of Numerators as per given numbers 19/192, 69/695, 636/489 is
LCM of Numerators i.e. for 19,69,636 is 277932
GCF of denominators i.e. for 192,695,489 is 1.
Thus, LCM of Fractions is 277932.Finally, LCM of Fractions for 19/192, 69/695, 636/489 is 277932.