Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 168/310, 803/905 quickly i.e. 134904/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 168/310, 803/905 is 134904/5.
LCM(168/310, 803/905) = 134904/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 168/310,803/905
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 168,803
Least Common Multiple of Numerators i.e. LCM of 168,803 is 134904.
GCF of Denominators means GCF of 310,905 as per the given fractions.
GCF of 310,905 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 168,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 134904
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 168,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(168,803) x common factors =1 x 1 = 1
LCM(168,803) = ( 168 × 803 ) / 1
LCM(168,803) = 134904 / 1
LCM(168,803) = 134904
Lets's calculate GCF of 310,905
5 | 310, 905 |
62, 181 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134904/5
Therefore the LCM of Fractions 168/310,803/905 is 134904/5
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 310,905 . The biggest common factor number is the GCF number.
So the greatest common factor 310,905 is 5.
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 168/310, 803/905?
Answer: LCM of Numerators as per given numbers 168/310, 803/905 is
LCM of Numerators i.e. for 168,803 is 134904
GCF of denominators i.e. for 310,905 is 5.
Thus, LCM of Fractions is 134904/5.Finally, LCM of Fractions for 168/310, 803/905 is 134904/5.