Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/49, 27/995, 19/208 quickly i.e. 1026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/49, 27/995, 19/208 is 1026.
LCM(2/49, 27/995, 19/208) = 1026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/49,27/995,19/208
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 2,27,19
Least Common Multiple of Numerators i.e. LCM of 2,27,19 is 1026.
GCF of Denominators means GCF of 49,995,208 as per the given fractions.
GCF of 49,995,208 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,27,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 1026
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 2,27,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,27,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,27,19) x common factors =1 x 1 = 1
LCM(2,27,19) = ( 2 × 27 × 19 ) / 1
LCM(2,27,19) = 1026 / 1
LCM(2,27,19) = 1026
Lets's calculate GCF of 49,995,208
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1026/1
Therefore the LCM of Fractions 2/49,27/995,19/208 is 1026
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 49,995,208 . The biggest common factor number is the GCF number.
So the greatest common factor 49,995,208 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 2/49, 27/995, 19/208?
Answer: LCM of Numerators as per given numbers 2/49, 27/995, 19/208 is
LCM of Numerators i.e. for 2,27,19 is 1026
GCF of denominators i.e. for 49,995,208 is 1.
Thus, LCM of Fractions is 1026.Finally, LCM of Fractions for 2/49, 27/995, 19/208 is 1026.