Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7267/588, 6525/650 quickly i.e. 47417175/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7267/588, 6525/650 is 47417175/2.
LCM(7267/588, 6525/650) = 47417175/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7267/588,6525/650
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 7267,6525
Least Common Multiple of Numerators i.e. LCM of 7267,6525 is 47417175.
GCF of Denominators means GCF of 588,650 as per the given fractions.
GCF of 588,650 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7267,6525
Given numbers has no common factors except 1. So, there LCM is their product i.e 47417175
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 7267,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7267,6525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7267,6525) x common factors =1 x 1 = 1
LCM(7267,6525) = ( 7267 × 6525 ) / 1
LCM(7267,6525) = 47417175 / 1
LCM(7267,6525) = 47417175
Lets's calculate GCF of 588,650
2 | 588, 650 |
294, 325 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47417175/2
Therefore the LCM of Fractions 7267/588,6525/650 is 47417175/2
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 588,650 . The biggest common factor number is the GCF number.
So the greatest common factor 588,650 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 7267/588, 6525/650?
Answer: LCM of Numerators as per given numbers 7267/588, 6525/650 is
LCM of Numerators i.e. for 7267,6525 is 47417175
GCF of denominators i.e. for 588,650 is 2.
Thus, LCM of Fractions is 47417175/2.Finally, LCM of Fractions for 7267/588, 6525/650 is 47417175/2.