Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/51, 329/6697 quickly i.e. 280308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/51, 329/6697 is 280308.
LCM(852/51, 329/6697) = 280308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/51,329/6697
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 852,329
Least Common Multiple of Numerators i.e. LCM of 852,329 is 280308.
GCF of Denominators means GCF of 51,6697 as per the given fractions.
GCF of 51,6697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 280308
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 852,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,329) x common factors =1 x 1 = 1
LCM(852,329) = ( 852 × 329 ) / 1
LCM(852,329) = 280308 / 1
LCM(852,329) = 280308
Lets's calculate GCF of 51,6697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280308/1
Therefore the LCM of Fractions 852/51,329/6697 is 280308
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 6697
List of positive integer factors of 6697 that divides 6697 without a remainder.
1,37,181,6697
Greatest Common Factor
We found the factors 51,6697 . The biggest common factor number is the GCF number.
So the greatest common factor 51,6697 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 852/51, 329/6697?
Answer: LCM of Numerators as per given numbers 852/51, 329/6697 is
LCM of Numerators i.e. for 852,329 is 280308
GCF of denominators i.e. for 51,6697 is 1.
Thus, LCM of Fractions is 280308.Finally, LCM of Fractions for 852/51, 329/6697 is 280308.