Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3455/381, 7699/821 quickly i.e. 26600045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3455/381, 7699/821 is 26600045.
LCM(3455/381, 7699/821) = 26600045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3455/381,7699/821
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 3455,7699
Least Common Multiple of Numerators i.e. LCM of 3455,7699 is 26600045.
GCF of Denominators means GCF of 381,821 as per the given fractions.
GCF of 381,821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3455,7699
Given numbers has no common factors except 1. So, there LCM is their product i.e 26600045
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 3455,7699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3455,7699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3455,7699) x common factors =1 x 1 = 1
LCM(3455,7699) = ( 3455 × 7699 ) / 1
LCM(3455,7699) = 26600045 / 1
LCM(3455,7699) = 26600045
Lets's calculate GCF of 381,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26600045/1
Therefore the LCM of Fractions 3455/381,7699/821 is 26600045
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Greatest Common Factor
We found the factors 381,821 . The biggest common factor number is the GCF number.
So the greatest common factor 381,821 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 3455/381, 7699/821?
Answer: LCM of Numerators as per given numbers 3455/381, 7699/821 is
LCM of Numerators i.e. for 3455,7699 is 26600045
GCF of denominators i.e. for 381,821 is 1.
Thus, LCM of Fractions is 26600045.Finally, LCM of Fractions for 3455/381, 7699/821 is 26600045.