Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7773/666, 3495/849 quickly i.e. 3018515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7773/666, 3495/849 is 3018515.
LCM(7773/666, 3495/849) = 3018515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7773/666,3495/849
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 7773,3495
Least Common Multiple of Numerators i.e. LCM of 7773,3495 is 9055545.
GCF of Denominators means GCF of 666,849 as per the given fractions.
GCF of 666,849 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7773,3495
3 | 7773, 3495 |
2591, 1165 |
∴ So the LCM of the given numbers is 3 x 2591 x 1165 = 9055545
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 7773,3495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7773,3495) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7773,3495) x common factors =3 x 1 = 3
LCM(7773,3495) = ( 7773 × 3495 ) / 3
LCM(7773,3495) = 27166635 / 3
LCM(7773,3495) = 9055545
Lets's calculate GCF of 666,849
3 | 666, 849 |
222, 283 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9055545/3
Therefore the LCM of Fractions 7773/666,3495/849 is 3018515
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Greatest Common Factor
We found the factors 666,849 . The biggest common factor number is the GCF number.
So the greatest common factor 666,849 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 7773/666, 3495/849?
Answer: LCM of Numerators as per given numbers 7773/666, 3495/849 is
LCM of Numerators i.e. for 7773,3495 is 9055545
GCF of denominators i.e. for 666,849 is 3.
Thus, LCM of Fractions is 3018515.Finally, LCM of Fractions for 7773/666, 3495/849 is 3018515.