Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9977/53, 6368/783 quickly i.e. 63533536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9977/53, 6368/783 is 63533536.
LCM(9977/53, 6368/783) = 63533536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9977/53,6368/783
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 9977,6368
Least Common Multiple of Numerators i.e. LCM of 9977,6368 is 63533536.
GCF of Denominators means GCF of 53,783 as per the given fractions.
GCF of 53,783 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9977,6368
Given numbers has no common factors except 1. So, there LCM is their product i.e 63533536
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 9977,6368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9977,6368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9977,6368) x common factors =1 x 1 = 1
LCM(9977,6368) = ( 9977 × 6368 ) / 1
LCM(9977,6368) = 63533536 / 1
LCM(9977,6368) = 63533536
Lets's calculate GCF of 53,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63533536/1
Therefore the LCM of Fractions 9977/53,6368/783 is 63533536
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 53,783 . The biggest common factor number is the GCF number.
So the greatest common factor 53,783 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 9977/53, 6368/783?
Answer: LCM of Numerators as per given numbers 9977/53, 6368/783 is
LCM of Numerators i.e. for 9977,6368 is 63533536
GCF of denominators i.e. for 53,783 is 1.
Thus, LCM of Fractions is 63533536.Finally, LCM of Fractions for 9977/53, 6368/783 is 63533536.