Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/807, 71/235, 23/336 quickly i.e. 8165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/807, 71/235, 23/336 is 8165.
LCM(5/807, 71/235, 23/336) = 8165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/807,71/235,23/336
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 5,71,23
Least Common Multiple of Numerators i.e. LCM of 5,71,23 is 8165.
GCF of Denominators means GCF of 807,235,336 as per the given fractions.
GCF of 807,235,336 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,71,23
Given numbers has no common factors except 1. So, there LCM is their product i.e 8165
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 5,71,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,71,23) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,71,23) x common factors =1 x 1 = 1
LCM(5,71,23) = ( 5 × 71 × 23 ) / 1
LCM(5,71,23) = 8165 / 1
LCM(5,71,23) = 8165
Lets's calculate GCF of 807,235,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8165/1
Therefore the LCM of Fractions 5/807,71/235,23/336 is 8165
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 807,235,336 . The biggest common factor number is the GCF number.
So the greatest common factor 807,235,336 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 5/807, 71/235, 23/336?
Answer: LCM of Numerators as per given numbers 5/807, 71/235, 23/336 is
LCM of Numerators i.e. for 5,71,23 is 8165
GCF of denominators i.e. for 807,235,336 is 1.
Thus, LCM of Fractions is 8165.Finally, LCM of Fractions for 5/807, 71/235, 23/336 is 8165.