Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 682/72, 209/5530 quickly i.e. 6479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 682/72, 209/5530 is 6479.
LCM(682/72, 209/5530) = 6479
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 682/72,209/5530
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 682,209
Least Common Multiple of Numerators i.e. LCM of 682,209 is 12958.
GCF of Denominators means GCF of 72,5530 as per the given fractions.
GCF of 72,5530 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 682,209
11 | 682, 209 |
62, 19 |
∴ So the LCM of the given numbers is 11 x 62 x 19 = 12958
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 682,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,209) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(682,209) x common factors =11 x 1 = 11
LCM(682,209) = ( 682 × 209 ) / 11
LCM(682,209) = 142538 / 11
LCM(682,209) = 12958
Lets's calculate GCF of 72,5530
2 | 72, 5530 |
36, 2765 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12958/2
Therefore the LCM of Fractions 682/72,209/5530 is 6479
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 5530
List of positive integer factors of 5530 that divides 5530 without a remainder.
1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 72,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5530 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 682/72, 209/5530?
Answer: LCM of Numerators as per given numbers 682/72, 209/5530 is
LCM of Numerators i.e. for 682,209 is 12958
GCF of denominators i.e. for 72,5530 is 2.
Thus, LCM of Fractions is 6479.Finally, LCM of Fractions for 682/72, 209/5530 is 6479.