Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/136, 17/802, 47/363 quickly i.e. 799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/136, 17/802, 47/363 is 799.
LCM(1/136, 17/802, 47/363) = 799
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/136,17/802,47/363
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 1,17,47
Least Common Multiple of Numerators i.e. LCM of 1,17,47 is 799.
GCF of Denominators means GCF of 136,802,363 as per the given fractions.
GCF of 136,802,363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,17,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 799
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 1,17,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,17,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,17,47) x common factors =1 x 1 = 1
LCM(1,17,47) = ( 1 × 17 × 47 ) / 1
LCM(1,17,47) = 799 / 1
LCM(1,17,47) = 799
Lets's calculate GCF of 136,802,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799/1
Therefore the LCM of Fractions 1/136,17/802,47/363 is 799
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 136,802,363 . The biggest common factor number is the GCF number.
So the greatest common factor 136,802,363 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 1/136, 17/802, 47/363?
Answer: LCM of Numerators as per given numbers 1/136, 17/802, 47/363 is
LCM of Numerators i.e. for 1,17,47 is 799
GCF of denominators i.e. for 136,802,363 is 1.
Thus, LCM of Fractions is 799.Finally, LCM of Fractions for 1/136, 17/802, 47/363 is 799.