Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/423, 321/401, 983/231 quickly i.e. 21456924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/423, 321/401, 983/231 is 21456924.
LCM(68/423, 321/401, 983/231) = 21456924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/423,321/401,983/231
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 68,321,983
Least Common Multiple of Numerators i.e. LCM of 68,321,983 is 21456924.
GCF of Denominators means GCF of 423,401,231 as per the given fractions.
GCF of 423,401,231 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,321,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 21456924
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 68,321,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,321,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,321,983) x common factors =1 x 1 = 1
LCM(68,321,983) = ( 68 × 321 × 983 ) / 1
LCM(68,321,983) = 21456924 / 1
LCM(68,321,983) = 21456924
Lets's calculate GCF of 423,401,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21456924/1
Therefore the LCM of Fractions 68/423,321/401,983/231 is 21456924
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 423,401,231 . The biggest common factor number is the GCF number.
So the greatest common factor 423,401,231 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 68/423, 321/401, 983/231?
Answer: LCM of Numerators as per given numbers 68/423, 321/401, 983/231 is
LCM of Numerators i.e. for 68,321,983 is 21456924
GCF of denominators i.e. for 423,401,231 is 1.
Thus, LCM of Fractions is 21456924.Finally, LCM of Fractions for 68/423, 321/401, 983/231 is 21456924.