Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/42, 675/51, 609/966 quickly i.e. 17630550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/42, 675/51, 609/966 is 17630550.
LCM(386/42, 675/51, 609/966) = 17630550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/42,675/51,609/966
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 386,675,609
Least Common Multiple of Numerators i.e. LCM of 386,675,609 is 52891650.
GCF of Denominators means GCF of 42,51,966 as per the given fractions.
GCF of 42,51,966 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,675,609
3 | 386, 675, 609 |
386, 225, 203 |
∴ So the LCM of the given numbers is 3 x 386 x 225 x 203 = 52891650
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 386,675,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,675,609) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(386,675,609) x common factors =1 x 3 = 3
LCM(386,675,609) = ( 386 × 675 × 609 ) / 3
LCM(386,675,609) = 158674950 / 3
LCM(386,675,609) = 52891650
Lets's calculate GCF of 42,51,966
3 | 42, 51, 966 |
14, 17, 322 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52891650/3
Therefore the LCM of Fractions 386/42,675/51,609/966 is 17630550
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 42,51,966 . The biggest common factor number is the GCF number.
So the greatest common factor 42,51,966 is 3.
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 386/42, 675/51, 609/966?
Answer: LCM of Numerators as per given numbers 386/42, 675/51, 609/966 is
LCM of Numerators i.e. for 386,675,609 is 52891650
GCF of denominators i.e. for 42,51,966 is 3.
Thus, LCM of Fractions is 17630550.Finally, LCM of Fractions for 386/42, 675/51, 609/966 is 17630550.