Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 399/90, 250/4485 quickly i.e. 6650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 399/90, 250/4485 is 6650.
LCM(399/90, 250/4485) = 6650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 399/90,250/4485
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 399,250
Least Common Multiple of Numerators i.e. LCM of 399,250 is 99750.
GCF of Denominators means GCF of 90,4485 as per the given fractions.
GCF of 90,4485 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 399,250
Given numbers has no common factors except 1. So, there LCM is their product i.e 99750
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 399,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,250) x common factors =1 x 1 = 1
LCM(399,250) = ( 399 × 250 ) / 1
LCM(399,250) = 99750 / 1
LCM(399,250) = 99750
Lets's calculate GCF of 90,4485
3 | 90, 4485 |
5 | 30, 1495 |
6, 299 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99750/15
Therefore the LCM of Fractions 399/90,250/4485 is 6650
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 4485
List of positive integer factors of 4485 that divides 4485 without a remainder.
1,3,5,13,15,23,39,65,69,115,195,299,345,897,1495,4485
Greatest Common Factor
We found the factors 90,4485 . The biggest common factor number is the GCF number.
So the greatest common factor 90,4485 is 15.
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 399/90, 250/4485?
Answer: LCM of Numerators as per given numbers 399/90, 250/4485 is
LCM of Numerators i.e. for 399,250 is 99750
GCF of denominators i.e. for 90,4485 is 15.
Thus, LCM of Fractions is 6650.Finally, LCM of Fractions for 399/90, 250/4485 is 6650.