Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/368, 9163/3440 quickly i.e. 174097/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/368, 9163/3440 is 174097/16.
LCM(19/368, 9163/3440) = 174097/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/368,9163/3440
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 19,9163
Least Common Multiple of Numerators i.e. LCM of 19,9163 is 174097.
GCF of Denominators means GCF of 368,3440 as per the given fractions.
GCF of 368,3440 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,9163
Given numbers has no common factors except 1. So, there LCM is their product i.e 174097
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 19,9163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,9163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,9163) x common factors =1 x 1 = 1
LCM(19,9163) = ( 19 × 9163 ) / 1
LCM(19,9163) = 174097 / 1
LCM(19,9163) = 174097
Lets's calculate GCF of 368,3440
2 | 368, 3440 |
2 | 184, 1720 |
2 | 92, 860 |
2 | 46, 430 |
23, 215 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174097/16
Therefore the LCM of Fractions 19/368,9163/3440 is 174097/16
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 3440
List of positive integer factors of 3440 that divides 3440 without a remainder.
1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Greatest Common Factor
We found the factors 368,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 368,3440 is 16.
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 19/368, 9163/3440?
Answer: LCM of Numerators as per given numbers 19/368, 9163/3440 is
LCM of Numerators i.e. for 19,9163 is 174097
GCF of denominators i.e. for 368,3440 is 16.
Thus, LCM of Fractions is 174097/16.Finally, LCM of Fractions for 19/368, 9163/3440 is 174097/16.