Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/688, 5631/3386 quickly i.e. 1813182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/688, 5631/3386 is 1813182.
LCM(644/688, 5631/3386) = 1813182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/688,5631/3386
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 644,5631
Least Common Multiple of Numerators i.e. LCM of 644,5631 is 3626364.
GCF of Denominators means GCF of 688,3386 as per the given fractions.
GCF of 688,3386 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,5631
Given numbers has no common factors except 1. So, there LCM is their product i.e 3626364
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 644,5631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,5631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,5631) x common factors =1 x 1 = 1
LCM(644,5631) = ( 644 × 5631 ) / 1
LCM(644,5631) = 3626364 / 1
LCM(644,5631) = 3626364
Lets's calculate GCF of 688,3386
2 | 688, 3386 |
344, 1693 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3626364/2
Therefore the LCM of Fractions 644/688,5631/3386 is 1813182
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 3386
List of positive integer factors of 3386 that divides 3386 without a remainder.
1,2,1693,3386
Greatest Common Factor
We found the factors 688,3386 . The biggest common factor number is the GCF number.
So the greatest common factor 688,3386 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 644/688, 5631/3386?
Answer: LCM of Numerators as per given numbers 644/688, 5631/3386 is
LCM of Numerators i.e. for 644,5631 is 3626364
GCF of denominators i.e. for 688,3386 is 2.
Thus, LCM of Fractions is 1813182.Finally, LCM of Fractions for 644/688, 5631/3386 is 1813182.