Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/808, 853/302 quickly i.e. 434177/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/808, 853/302 is 434177/2.
LCM(509/808, 853/302) = 434177/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/808,853/302
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 509,853
Least Common Multiple of Numerators i.e. LCM of 509,853 is 434177.
GCF of Denominators means GCF of 808,302 as per the given fractions.
GCF of 808,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 434177
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 509,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,853) x common factors =1 x 1 = 1
LCM(509,853) = ( 509 × 853 ) / 1
LCM(509,853) = 434177 / 1
LCM(509,853) = 434177
Lets's calculate GCF of 808,302
2 | 808, 302 |
404, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434177/2
Therefore the LCM of Fractions 509/808,853/302 is 434177/2
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 808,302 . The biggest common factor number is the GCF number.
So the greatest common factor 808,302 is 2.
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 509/808, 853/302?
Answer: LCM of Numerators as per given numbers 509/808, 853/302 is
LCM of Numerators i.e. for 509,853 is 434177
GCF of denominators i.e. for 808,302 is 2.
Thus, LCM of Fractions is 434177/2.Finally, LCM of Fractions for 509/808, 853/302 is 434177/2.