Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3853/666, 4290/644 quickly i.e. 8264685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3853/666, 4290/644 is 8264685.
LCM(3853/666, 4290/644) = 8264685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3853/666,4290/644
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 3853,4290
Least Common Multiple of Numerators i.e. LCM of 3853,4290 is 16529370.
GCF of Denominators means GCF of 666,644 as per the given fractions.
GCF of 666,644 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3853,4290
Given numbers has no common factors except 1. So, there LCM is their product i.e 16529370
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 3853,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3853,4290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3853,4290) x common factors =1 x 1 = 1
LCM(3853,4290) = ( 3853 × 4290 ) / 1
LCM(3853,4290) = 16529370 / 1
LCM(3853,4290) = 16529370
Lets's calculate GCF of 666,644
2 | 666, 644 |
333, 322 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16529370/2
Therefore the LCM of Fractions 3853/666,4290/644 is 8264685
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 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 666,644 . The biggest common factor number is the GCF number.
So the greatest common factor 666,644 is 2.
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 3853/666, 4290/644?
Answer: LCM of Numerators as per given numbers 3853/666, 4290/644 is
LCM of Numerators i.e. for 3853,4290 is 16529370
GCF of denominators i.e. for 666,644 is 2.
Thus, LCM of Fractions is 8264685.Finally, LCM of Fractions for 3853/666, 4290/644 is 8264685.