Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/662, 3698/1512 quickly i.e. 12943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/662, 3698/1512 is 12943.
LCM(14/662, 3698/1512) = 12943
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/662,3698/1512
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 14,3698
Least Common Multiple of Numerators i.e. LCM of 14,3698 is 25886.
GCF of Denominators means GCF of 662,1512 as per the given fractions.
GCF of 662,1512 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,3698
2 | 14, 3698 |
7, 1849 |
∴ So the LCM of the given numbers is 2 x 7 x 1849 = 25886
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 14,3698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,3698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,3698) x common factors =2 x 1 = 2
LCM(14,3698) = ( 14 × 3698 ) / 2
LCM(14,3698) = 51772 / 2
LCM(14,3698) = 25886
Lets's calculate GCF of 662,1512
2 | 662, 1512 |
331, 756 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25886/2
Therefore the LCM of Fractions 14/662,3698/1512 is 12943
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 1512
List of positive integer factors of 1512 that divides 1512 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 662,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 662,1512 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 14/662, 3698/1512?
Answer: LCM of Numerators as per given numbers 14/662, 3698/1512 is
LCM of Numerators i.e. for 14,3698 is 25886
GCF of denominators i.e. for 662,1512 is 2.
Thus, LCM of Fractions is 12943.Finally, LCM of Fractions for 14/662, 3698/1512 is 12943.