Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4991/310, 4446/250 quickly i.e. 22189986/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4991/310, 4446/250 is 22189986/10.
LCM(4991/310, 4446/250) = 22189986/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4991/310,4446/250
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 4991,4446
Least Common Multiple of Numerators i.e. LCM of 4991,4446 is 22189986.
GCF of Denominators means GCF of 310,250 as per the given fractions.
GCF of 310,250 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4991,4446
Given numbers has no common factors except 1. So, there LCM is their product i.e 22189986
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 4991,4446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4991,4446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4991,4446) x common factors =1 x 1 = 1
LCM(4991,4446) = ( 4991 × 4446 ) / 1
LCM(4991,4446) = 22189986 / 1
LCM(4991,4446) = 22189986
Lets's calculate GCF of 310,250
2 | 310, 250 |
5 | 155, 125 |
31, 25 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22189986/10
Therefore the LCM of Fractions 4991/310,4446/250 is 22189986/10
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 310,250 . The biggest common factor number is the GCF number.
So the greatest common factor 310,250 is 10.
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 4991/310, 4446/250?
Answer: LCM of Numerators as per given numbers 4991/310, 4446/250 is
LCM of Numerators i.e. for 4991,4446 is 22189986
GCF of denominators i.e. for 310,250 is 10.
Thus, LCM of Fractions is 22189986/10.Finally, LCM of Fractions for 4991/310, 4446/250 is 22189986/10.