Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9448/627, 6618/4466 quickly i.e. 31263432/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9448/627, 6618/4466 is 31263432/11.
LCM(9448/627, 6618/4466) = 31263432/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9448/627,6618/4466
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 9448,6618
Least Common Multiple of Numerators i.e. LCM of 9448,6618 is 31263432.
GCF of Denominators means GCF of 627,4466 as per the given fractions.
GCF of 627,4466 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9448,6618
2 | 9448, 6618 |
4724, 3309 |
∴ So the LCM of the given numbers is 2 x 4724 x 3309 = 31263432
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 9448,6618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9448,6618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9448,6618) x common factors =2 x 1 = 2
LCM(9448,6618) = ( 9448 × 6618 ) / 2
LCM(9448,6618) = 62526864 / 2
LCM(9448,6618) = 31263432
Lets's calculate GCF of 627,4466
11 | 627, 4466 |
57, 406 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31263432/11
Therefore the LCM of Fractions 9448/627,6618/4466 is 31263432/11
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 4466
List of positive integer factors of 4466 that divides 4466 without a remainder.
1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Greatest Common Factor
We found the factors 627,4466 . The biggest common factor number is the GCF number.
So the greatest common factor 627,4466 is 11.
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 9448/627, 6618/4466?
Answer: LCM of Numerators as per given numbers 9448/627, 6618/4466 is
LCM of Numerators i.e. for 9448,6618 is 31263432
GCF of denominators i.e. for 627,4466 is 11.
Thus, LCM of Fractions is 31263432/11.Finally, LCM of Fractions for 9448/627, 6618/4466 is 31263432/11.