Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/485, 6315/620 quickly i.e. 1259211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/485, 6315/620 is 1259211.
LCM(997/485, 6315/620) = 1259211
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/485,6315/620
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 997,6315
Least Common Multiple of Numerators i.e. LCM of 997,6315 is 6296055.
GCF of Denominators means GCF of 485,620 as per the given fractions.
GCF of 485,620 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,6315
Given numbers has no common factors except 1. So, there LCM is their product i.e 6296055
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 997,6315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6315) x common factors =1 x 1 = 1
LCM(997,6315) = ( 997 × 6315 ) / 1
LCM(997,6315) = 6296055 / 1
LCM(997,6315) = 6296055
Lets's calculate GCF of 485,620
5 | 485, 620 |
97, 124 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6296055/5
Therefore the LCM of Fractions 997/485,6315/620 is 1259211
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 485,620 . The biggest common factor number is the GCF number.
So the greatest common factor 485,620 is 5.
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 997/485, 6315/620?
Answer: LCM of Numerators as per given numbers 997/485, 6315/620 is
LCM of Numerators i.e. for 997,6315 is 6296055
GCF of denominators i.e. for 485,620 is 5.
Thus, LCM of Fractions is 1259211.Finally, LCM of Fractions for 997/485, 6315/620 is 1259211.