Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8592/588, 2667/6622 quickly i.e. 545592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8592/588, 2667/6622 is 545592.
LCM(8592/588, 2667/6622) = 545592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8592/588,2667/6622
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 8592,2667
Least Common Multiple of Numerators i.e. LCM of 8592,2667 is 7638288.
GCF of Denominators means GCF of 588,6622 as per the given fractions.
GCF of 588,6622 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8592,2667
3 | 8592, 2667 |
2864, 889 |
∴ So the LCM of the given numbers is 3 x 2864 x 889 = 7638288
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 8592,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8592,2667) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8592,2667) x common factors =3 x 1 = 3
LCM(8592,2667) = ( 8592 × 2667 ) / 3
LCM(8592,2667) = 22914864 / 3
LCM(8592,2667) = 7638288
Lets's calculate GCF of 588,6622
2 | 588, 6622 |
7 | 294, 3311 |
42, 473 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7638288/14
Therefore the LCM of Fractions 8592/588,2667/6622 is 545592
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 6622
List of positive integer factors of 6622 that divides 6622 without a remainder.
1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622
Greatest Common Factor
We found the factors 588,6622 . The biggest common factor number is the GCF number.
So the greatest common factor 588,6622 is 14.
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 8592/588, 2667/6622?
Answer: LCM of Numerators as per given numbers 8592/588, 2667/6622 is
LCM of Numerators i.e. for 8592,2667 is 7638288
GCF of denominators i.e. for 588,6622 is 14.
Thus, LCM of Fractions is 545592.Finally, LCM of Fractions for 8592/588, 2667/6622 is 545592.