Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 404/67, 299/7437 quickly i.e. 120796/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 404/67, 299/7437 is 120796/67.
LCM(404/67, 299/7437) = 120796/67
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 404/67,299/7437
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 404,299
Least Common Multiple of Numerators i.e. LCM of 404,299 is 120796.
GCF of Denominators means GCF of 67,7437 as per the given fractions.
GCF of 67,7437 is 67 as it is the largest common factor for these numbers.
Lets's calculate LCM of 404,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 120796
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 404,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,299) x common factors =1 x 1 = 1
LCM(404,299) = ( 404 × 299 ) / 1
LCM(404,299) = 120796 / 1
LCM(404,299) = 120796
Lets's calculate GCF of 67,7437
67 | 67, 7437 |
1, 111 |
∴ So the GCF of the given numbers is 67 = 67
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120796/67
Therefore the LCM of Fractions 404/67,299/7437 is 120796/67
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 7437
List of positive integer factors of 7437 that divides 7437 without a remainder.
1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 67,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 67,7437 is 67.
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 404/67, 299/7437?
Answer: LCM of Numerators as per given numbers 404/67, 299/7437 is
LCM of Numerators i.e. for 404,299 is 120796
GCF of denominators i.e. for 67,7437 is 67.
Thus, LCM of Fractions is 120796/67.Finally, LCM of Fractions for 404/67, 299/7437 is 120796/67.