Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 242/45, 477/2418 quickly i.e. 38478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 242/45, 477/2418 is 38478.
LCM(242/45, 477/2418) = 38478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 242/45,477/2418
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 242,477
Least Common Multiple of Numerators i.e. LCM of 242,477 is 115434.
GCF of Denominators means GCF of 45,2418 as per the given fractions.
GCF of 45,2418 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 242,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 115434
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 242,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,477) x common factors =1 x 1 = 1
LCM(242,477) = ( 242 × 477 ) / 1
LCM(242,477) = 115434 / 1
LCM(242,477) = 115434
Lets's calculate GCF of 45,2418
3 | 45, 2418 |
15, 806 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115434/3
Therefore the LCM of Fractions 242/45,477/2418 is 38478
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 2418
List of positive integer factors of 2418 that divides 2418 without a remainder.
1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418
Greatest Common Factor
We found the factors 45,2418 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2418 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 242/45, 477/2418?
Answer: LCM of Numerators as per given numbers 242/45, 477/2418 is
LCM of Numerators i.e. for 242,477 is 115434
GCF of denominators i.e. for 45,2418 is 3.
Thus, LCM of Fractions is 38478.Finally, LCM of Fractions for 242/45, 477/2418 is 38478.