Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3670/588, 8400/4787 quickly i.e. 3082800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3670/588, 8400/4787 is 3082800.
LCM(3670/588, 8400/4787) = 3082800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3670/588,8400/4787
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 3670,8400
Least Common Multiple of Numerators i.e. LCM of 3670,8400 is 3082800.
GCF of Denominators means GCF of 588,4787 as per the given fractions.
GCF of 588,4787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3670,8400
2 | 3670, 8400 |
5 | 1835, 4200 |
367, 840 |
∴ So the LCM of the given numbers is 2 x 5 x 367 x 840 = 3082800
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 3670,8400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3670,8400) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(3670,8400) x common factors =10 x 1 = 10
LCM(3670,8400) = ( 3670 × 8400 ) / 10
LCM(3670,8400) = 30828000 / 10
LCM(3670,8400) = 3082800
Lets's calculate GCF of 588,4787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3082800/1
Therefore the LCM of Fractions 3670/588,8400/4787 is 3082800
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 4787
List of positive integer factors of 4787 that divides 4787 without a remainder.
1,4787
Greatest Common Factor
We found the factors 588,4787 . The biggest common factor number is the GCF number.
So the greatest common factor 588,4787 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 3670/588, 8400/4787?
Answer: LCM of Numerators as per given numbers 3670/588, 8400/4787 is
LCM of Numerators i.e. for 3670,8400 is 3082800
GCF of denominators i.e. for 588,4787 is 1.
Thus, LCM of Fractions is 3082800.Finally, LCM of Fractions for 3670/588, 8400/4787 is 3082800.