Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1695/502, 8609/462 quickly i.e. 14592255/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1695/502, 8609/462 is 14592255/2.
LCM(1695/502, 8609/462) = 14592255/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1695/502,8609/462
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 1695,8609
Least Common Multiple of Numerators i.e. LCM of 1695,8609 is 14592255.
GCF of Denominators means GCF of 502,462 as per the given fractions.
GCF of 502,462 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1695,8609
Given numbers has no common factors except 1. So, there LCM is their product i.e 14592255
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 1695,8609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1695,8609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1695,8609) x common factors =1 x 1 = 1
LCM(1695,8609) = ( 1695 × 8609 ) / 1
LCM(1695,8609) = 14592255 / 1
LCM(1695,8609) = 14592255
Lets's calculate GCF of 502,462
2 | 502, 462 |
251, 231 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14592255/2
Therefore the LCM of Fractions 1695/502,8609/462 is 14592255/2
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 502,462 . The biggest common factor number is the GCF number.
So the greatest common factor 502,462 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 1695/502, 8609/462?
Answer: LCM of Numerators as per given numbers 1695/502, 8609/462 is
LCM of Numerators i.e. for 1695,8609 is 14592255
GCF of denominators i.e. for 502,462 is 2.
Thus, LCM of Fractions is 14592255/2.Finally, LCM of Fractions for 1695/502, 8609/462 is 14592255/2.