Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 480/688, 8737/2768 quickly i.e. 262110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 480/688, 8737/2768 is 262110.
LCM(480/688, 8737/2768) = 262110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 480/688,8737/2768
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 480,8737
Least Common Multiple of Numerators i.e. LCM of 480,8737 is 4193760.
GCF of Denominators means GCF of 688,2768 as per the given fractions.
GCF of 688,2768 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 480,8737
Given numbers has no common factors except 1. So, there LCM is their product i.e 4193760
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 480,8737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,8737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(480,8737) x common factors =1 x 1 = 1
LCM(480,8737) = ( 480 × 8737 ) / 1
LCM(480,8737) = 4193760 / 1
LCM(480,8737) = 4193760
Lets's calculate GCF of 688,2768
2 | 688, 2768 |
2 | 344, 1384 |
2 | 172, 692 |
2 | 86, 346 |
43, 173 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4193760/16
Therefore the LCM of Fractions 480/688,8737/2768 is 262110
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 2768
List of positive integer factors of 2768 that divides 2768 without a remainder.
1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 688,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 688,2768 is 16.
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 480/688, 8737/2768?
Answer: LCM of Numerators as per given numbers 480/688, 8737/2768 is
LCM of Numerators i.e. for 480,8737 is 4193760
GCF of denominators i.e. for 688,2768 is 16.
Thus, LCM of Fractions is 262110.Finally, LCM of Fractions for 480/688, 8737/2768 is 262110.