Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/424, 1397/7999 quickly i.e. 101981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/424, 1397/7999 is 101981.
LCM(73/424, 1397/7999) = 101981
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/424,1397/7999
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 73,1397
Least Common Multiple of Numerators i.e. LCM of 73,1397 is 101981.
GCF of Denominators means GCF of 424,7999 as per the given fractions.
GCF of 424,7999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,1397
Given numbers has no common factors except 1. So, there LCM is their product i.e 101981
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 73,1397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,1397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,1397) x common factors =1 x 1 = 1
LCM(73,1397) = ( 73 × 1397 ) / 1
LCM(73,1397) = 101981 / 1
LCM(73,1397) = 101981
Lets's calculate GCF of 424,7999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101981/1
Therefore the LCM of Fractions 73/424,1397/7999 is 101981
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 7999
List of positive integer factors of 7999 that divides 7999 without a remainder.
1,19,421,7999
Greatest Common Factor
We found the factors 424,7999 . The biggest common factor number is the GCF number.
So the greatest common factor 424,7999 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 73/424, 1397/7999?
Answer: LCM of Numerators as per given numbers 73/424, 1397/7999 is
LCM of Numerators i.e. for 73,1397 is 101981
GCF of denominators i.e. for 424,7999 is 1.
Thus, LCM of Fractions is 101981.Finally, LCM of Fractions for 73/424, 1397/7999 is 101981.