Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5199/150, 5000/328 quickly i.e. 12997500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5199/150, 5000/328 is 12997500.
LCM(5199/150, 5000/328) = 12997500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5199/150,5000/328
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 5199,5000
Least Common Multiple of Numerators i.e. LCM of 5199,5000 is 25995000.
GCF of Denominators means GCF of 150,328 as per the given fractions.
GCF of 150,328 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5199,5000
Given numbers has no common factors except 1. So, there LCM is their product i.e 25995000
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 5199,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5199,5000) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5199,5000) x common factors =1 x 1 = 1
LCM(5199,5000) = ( 5199 × 5000 ) / 1
LCM(5199,5000) = 25995000 / 1
LCM(5199,5000) = 25995000
Lets's calculate GCF of 150,328
2 | 150, 328 |
75, 164 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25995000/2
Therefore the LCM of Fractions 5199/150,5000/328 is 12997500
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 150,328 . The biggest common factor number is the GCF number.
So the greatest common factor 150,328 is 2.
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 5199/150, 5000/328?
Answer: LCM of Numerators as per given numbers 5199/150, 5000/328 is
LCM of Numerators i.e. for 5199,5000 is 25995000
GCF of denominators i.e. for 150,328 is 2.
Thus, LCM of Fractions is 12997500.Finally, LCM of Fractions for 5199/150, 5000/328 is 12997500.