Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4806/693, 7234/2672 quickly i.e. 17383302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4806/693, 7234/2672 is 17383302.
LCM(4806/693, 7234/2672) = 17383302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4806/693,7234/2672
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 4806,7234
Least Common Multiple of Numerators i.e. LCM of 4806,7234 is 17383302.
GCF of Denominators means GCF of 693,2672 as per the given fractions.
GCF of 693,2672 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4806,7234
2 | 4806, 7234 |
2403, 3617 |
∴ So the LCM of the given numbers is 2 x 2403 x 3617 = 17383302
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 4806,7234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4806,7234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4806,7234) x common factors =2 x 1 = 2
LCM(4806,7234) = ( 4806 × 7234 ) / 2
LCM(4806,7234) = 34766604 / 2
LCM(4806,7234) = 17383302
Lets's calculate GCF of 693,2672
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17383302/1
Therefore the LCM of Fractions 4806/693,7234/2672 is 17383302
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 2672
List of positive integer factors of 2672 that divides 2672 without a remainder.
1,2,4,8,16,167,334,668,1336,2672
Greatest Common Factor
We found the factors 693,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 693,2672 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 4806/693, 7234/2672?
Answer: LCM of Numerators as per given numbers 4806/693, 7234/2672 is
LCM of Numerators i.e. for 4806,7234 is 17383302
GCF of denominators i.e. for 693,2672 is 1.
Thus, LCM of Fractions is 17383302.Finally, LCM of Fractions for 4806/693, 7234/2672 is 17383302.