Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9426/477, 8433/212 quickly i.e. 26496486/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9426/477, 8433/212 is 26496486/53.
LCM(9426/477, 8433/212) = 26496486/53
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9426/477,8433/212
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 9426,8433
Least Common Multiple of Numerators i.e. LCM of 9426,8433 is 26496486.
GCF of Denominators means GCF of 477,212 as per the given fractions.
GCF of 477,212 is 53 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9426,8433
3 | 9426, 8433 |
3142, 2811 |
∴ So the LCM of the given numbers is 3 x 3142 x 2811 = 26496486
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 9426,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9426,8433) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9426,8433) x common factors =3 x 1 = 3
LCM(9426,8433) = ( 9426 × 8433 ) / 3
LCM(9426,8433) = 79489458 / 3
LCM(9426,8433) = 26496486
Lets's calculate GCF of 477,212
53 | 477, 212 |
9, 4 |
∴ So the GCF of the given numbers is 53 = 53
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26496486/53
Therefore the LCM of Fractions 9426/477,8433/212 is 26496486/53
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 477,212 . The biggest common factor number is the GCF number.
So the greatest common factor 477,212 is 53.
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 9426/477, 8433/212?
Answer: LCM of Numerators as per given numbers 9426/477, 8433/212 is
LCM of Numerators i.e. for 9426,8433 is 26496486
GCF of denominators i.e. for 477,212 is 53.
Thus, LCM of Fractions is 26496486/53.Finally, LCM of Fractions for 9426/477, 8433/212 is 26496486/53.