Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/329, 7431/6039 quickly i.e. 163482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/329, 7431/6039 is 163482.
LCM(66/329, 7431/6039) = 163482
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/329,7431/6039
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 66,7431
Least Common Multiple of Numerators i.e. LCM of 66,7431 is 163482.
GCF of Denominators means GCF of 329,6039 as per the given fractions.
GCF of 329,6039 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,7431
3 | 66, 7431 |
22, 2477 |
∴ So the LCM of the given numbers is 3 x 22 x 2477 = 163482
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 66,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,7431) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(66,7431) x common factors =3 x 1 = 3
LCM(66,7431) = ( 66 × 7431 ) / 3
LCM(66,7431) = 490446 / 3
LCM(66,7431) = 163482
Lets's calculate GCF of 329,6039
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163482/1
Therefore the LCM of Fractions 66/329,7431/6039 is 163482
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 6039
List of positive integer factors of 6039 that divides 6039 without a remainder.
1,3,9,11,33,61,99,183,549,671,2013,6039
Greatest Common Factor
We found the factors 329,6039 . The biggest common factor number is the GCF number.
So the greatest common factor 329,6039 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 66/329, 7431/6039?
Answer: LCM of Numerators as per given numbers 66/329, 7431/6039 is
LCM of Numerators i.e. for 66,7431 is 163482
GCF of denominators i.e. for 329,6039 is 1.
Thus, LCM of Fractions is 163482.Finally, LCM of Fractions for 66/329, 7431/6039 is 163482.