Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3631/795, 9700/6773 quickly i.e. 35220700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3631/795, 9700/6773 is 35220700.
LCM(3631/795, 9700/6773) = 35220700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3631/795,9700/6773
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 3631,9700
Least Common Multiple of Numerators i.e. LCM of 3631,9700 is 35220700.
GCF of Denominators means GCF of 795,6773 as per the given fractions.
GCF of 795,6773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3631,9700
Given numbers has no common factors except 1. So, there LCM is their product i.e 35220700
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 3631,9700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3631,9700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3631,9700) x common factors =1 x 1 = 1
LCM(3631,9700) = ( 3631 × 9700 ) / 1
LCM(3631,9700) = 35220700 / 1
LCM(3631,9700) = 35220700
Lets's calculate GCF of 795,6773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35220700/1
Therefore the LCM of Fractions 3631/795,9700/6773 is 35220700
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 6773
List of positive integer factors of 6773 that divides 6773 without a remainder.
1,13,521,6773
Greatest Common Factor
We found the factors 795,6773 . The biggest common factor number is the GCF number.
So the greatest common factor 795,6773 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 3631/795, 9700/6773?
Answer: LCM of Numerators as per given numbers 3631/795, 9700/6773 is
LCM of Numerators i.e. for 3631,9700 is 35220700
GCF of denominators i.e. for 795,6773 is 1.
Thus, LCM of Fractions is 35220700.Finally, LCM of Fractions for 3631/795, 9700/6773 is 35220700.