Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/936, 6949/6367 quickly i.e. 132031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/936, 6949/6367 is 132031.
LCM(19/936, 6949/6367) = 132031
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/936,6949/6367
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 19,6949
Least Common Multiple of Numerators i.e. LCM of 19,6949 is 132031.
GCF of Denominators means GCF of 936,6367 as per the given fractions.
GCF of 936,6367 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,6949
Given numbers has no common factors except 1. So, there LCM is their product i.e 132031
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 19,6949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,6949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,6949) x common factors =1 x 1 = 1
LCM(19,6949) = ( 19 × 6949 ) / 1
LCM(19,6949) = 132031 / 1
LCM(19,6949) = 132031
Lets's calculate GCF of 936,6367
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132031/1
Therefore the LCM of Fractions 19/936,6949/6367 is 132031
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 6367
List of positive integer factors of 6367 that divides 6367 without a remainder.
1,6367
Greatest Common Factor
We found the factors 936,6367 . The biggest common factor number is the GCF number.
So the greatest common factor 936,6367 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 19/936, 6949/6367?
Answer: LCM of Numerators as per given numbers 19/936, 6949/6367 is
LCM of Numerators i.e. for 19,6949 is 132031
GCF of denominators i.e. for 936,6367 is 1.
Thus, LCM of Fractions is 132031.Finally, LCM of Fractions for 19/936, 6949/6367 is 132031.