Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8630/387, 7207/8017 quickly i.e. 62196410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8630/387, 7207/8017 is 62196410.
LCM(8630/387, 7207/8017) = 62196410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8630/387,7207/8017
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 8630,7207
Least Common Multiple of Numerators i.e. LCM of 8630,7207 is 62196410.
GCF of Denominators means GCF of 387,8017 as per the given fractions.
GCF of 387,8017 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8630,7207
Given numbers has no common factors except 1. So, there LCM is their product i.e 62196410
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 8630,7207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8630,7207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8630,7207) x common factors =1 x 1 = 1
LCM(8630,7207) = ( 8630 × 7207 ) / 1
LCM(8630,7207) = 62196410 / 1
LCM(8630,7207) = 62196410
Lets's calculate GCF of 387,8017
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62196410/1
Therefore the LCM of Fractions 8630/387,7207/8017 is 62196410
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 8017
List of positive integer factors of 8017 that divides 8017 without a remainder.
1,8017
Greatest Common Factor
We found the factors 387,8017 . The biggest common factor number is the GCF number.
So the greatest common factor 387,8017 is 1.
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 8630/387, 7207/8017?
Answer: LCM of Numerators as per given numbers 8630/387, 7207/8017 is
LCM of Numerators i.e. for 8630,7207 is 62196410
GCF of denominators i.e. for 387,8017 is 1.
Thus, LCM of Fractions is 62196410.Finally, LCM of Fractions for 8630/387, 7207/8017 is 62196410.