Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/851, 6965/3279 quickly i.e. 508445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/851, 6965/3279 is 508445.
LCM(73/851, 6965/3279) = 508445
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/851,6965/3279
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 73,6965
Least Common Multiple of Numerators i.e. LCM of 73,6965 is 508445.
GCF of Denominators means GCF of 851,3279 as per the given fractions.
GCF of 851,3279 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,6965
Given numbers has no common factors except 1. So, there LCM is their product i.e 508445
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 73,6965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,6965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,6965) x common factors =1 x 1 = 1
LCM(73,6965) = ( 73 × 6965 ) / 1
LCM(73,6965) = 508445 / 1
LCM(73,6965) = 508445
Lets's calculate GCF of 851,3279
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508445/1
Therefore the LCM of Fractions 73/851,6965/3279 is 508445
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 3279
List of positive integer factors of 3279 that divides 3279 without a remainder.
1,3,1093,3279
Greatest Common Factor
We found the factors 851,3279 . The biggest common factor number is the GCF number.
So the greatest common factor 851,3279 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 73/851, 6965/3279?
Answer: LCM of Numerators as per given numbers 73/851, 6965/3279 is
LCM of Numerators i.e. for 73,6965 is 508445
GCF of denominators i.e. for 851,3279 is 1.
Thus, LCM of Fractions is 508445.Finally, LCM of Fractions for 73/851, 6965/3279 is 508445.