Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3497/250, 6067/5374 quickly i.e. 21216299/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3497/250, 6067/5374 is 21216299/2.
LCM(3497/250, 6067/5374) = 21216299/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3497/250,6067/5374
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 3497,6067
Least Common Multiple of Numerators i.e. LCM of 3497,6067 is 21216299.
GCF of Denominators means GCF of 250,5374 as per the given fractions.
GCF of 250,5374 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3497,6067
Given numbers has no common factors except 1. So, there LCM is their product i.e 21216299
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 3497,6067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3497,6067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3497,6067) x common factors =1 x 1 = 1
LCM(3497,6067) = ( 3497 × 6067 ) / 1
LCM(3497,6067) = 21216299 / 1
LCM(3497,6067) = 21216299
Lets's calculate GCF of 250,5374
2 | 250, 5374 |
125, 2687 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21216299/2
Therefore the LCM of Fractions 3497/250,6067/5374 is 21216299/2
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 5374
List of positive integer factors of 5374 that divides 5374 without a remainder.
1,2,2687,5374
Greatest Common Factor
We found the factors 250,5374 . The biggest common factor number is the GCF number.
So the greatest common factor 250,5374 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 3497/250, 6067/5374?
Answer: LCM of Numerators as per given numbers 3497/250, 6067/5374 is
LCM of Numerators i.e. for 3497,6067 is 21216299
GCF of denominators i.e. for 250,5374 is 2.
Thus, LCM of Fractions is 21216299/2.Finally, LCM of Fractions for 3497/250, 6067/5374 is 21216299/2.