Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 486/367, 4951/4554 quickly i.e. 2406186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 486/367, 4951/4554 is 2406186.
LCM(486/367, 4951/4554) = 2406186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 486/367,4951/4554
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 486,4951
Least Common Multiple of Numerators i.e. LCM of 486,4951 is 2406186.
GCF of Denominators means GCF of 367,4554 as per the given fractions.
GCF of 367,4554 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 486,4951
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406186
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 486,4951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,4951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,4951) x common factors =1 x 1 = 1
LCM(486,4951) = ( 486 × 4951 ) / 1
LCM(486,4951) = 2406186 / 1
LCM(486,4951) = 2406186
Lets's calculate GCF of 367,4554
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2406186/1
Therefore the LCM of Fractions 486/367,4951/4554 is 2406186
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 4554
List of positive integer factors of 4554 that divides 4554 without a remainder.
1,2,3,6,9,11,18,22,23,33,46,66,69,99,138,198,207,253,414,506,759,1518,2277,4554
Greatest Common Factor
We found the factors 367,4554 . The biggest common factor number is the GCF number.
So the greatest common factor 367,4554 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 486/367, 4951/4554?
Answer: LCM of Numerators as per given numbers 486/367, 4951/4554 is
LCM of Numerators i.e. for 486,4951 is 2406186
GCF of denominators i.e. for 367,4554 is 1.
Thus, LCM of Fractions is 2406186.Finally, LCM of Fractions for 486/367, 4951/4554 is 2406186.