Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 686/999, 7467/2398 quickly i.e. 5122362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 686/999, 7467/2398 is 5122362.
LCM(686/999, 7467/2398) = 5122362
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 686/999,7467/2398
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 686,7467
Least Common Multiple of Numerators i.e. LCM of 686,7467 is 5122362.
GCF of Denominators means GCF of 999,2398 as per the given fractions.
GCF of 999,2398 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 686,7467
Given numbers has no common factors except 1. So, there LCM is their product i.e 5122362
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 686,7467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,7467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,7467) x common factors =1 x 1 = 1
LCM(686,7467) = ( 686 × 7467 ) / 1
LCM(686,7467) = 5122362 / 1
LCM(686,7467) = 5122362
Lets's calculate GCF of 999,2398
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5122362/1
Therefore the LCM of Fractions 686/999,7467/2398 is 5122362
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 2398
List of positive integer factors of 2398 that divides 2398 without a remainder.
1,2,11,22,109,218,1199,2398
Greatest Common Factor
We found the factors 999,2398 . The biggest common factor number is the GCF number.
So the greatest common factor 999,2398 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 686/999, 7467/2398?
Answer: LCM of Numerators as per given numbers 686/999, 7467/2398 is
LCM of Numerators i.e. for 686,7467 is 5122362
GCF of denominators i.e. for 999,2398 is 1.
Thus, LCM of Fractions is 5122362.Finally, LCM of Fractions for 686/999, 7467/2398 is 5122362.