Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6689/860, 8260/2332 quickly i.e. 13812785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6689/860, 8260/2332 is 13812785.
LCM(6689/860, 8260/2332) = 13812785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6689/860,8260/2332
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 6689,8260
Least Common Multiple of Numerators i.e. LCM of 6689,8260 is 55251140.
GCF of Denominators means GCF of 860,2332 as per the given fractions.
GCF of 860,2332 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6689,8260
Given numbers has no common factors except 1. So, there LCM is their product i.e 55251140
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 6689,8260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6689,8260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6689,8260) x common factors =1 x 1 = 1
LCM(6689,8260) = ( 6689 × 8260 ) / 1
LCM(6689,8260) = 55251140 / 1
LCM(6689,8260) = 55251140
Lets's calculate GCF of 860,2332
2 | 860, 2332 |
2 | 430, 1166 |
215, 583 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55251140/4
Therefore the LCM of Fractions 6689/860,8260/2332 is 13812785
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 2332
List of positive integer factors of 2332 that divides 2332 without a remainder.
1,2,4,11,22,44,53,106,212,583,1166,2332
Greatest Common Factor
We found the factors 860,2332 . The biggest common factor number is the GCF number.
So the greatest common factor 860,2332 is 4.
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 6689/860, 8260/2332?
Answer: LCM of Numerators as per given numbers 6689/860, 8260/2332 is
LCM of Numerators i.e. for 6689,8260 is 55251140
GCF of denominators i.e. for 860,2332 is 4.
Thus, LCM of Fractions is 13812785.Finally, LCM of Fractions for 6689/860, 8260/2332 is 13812785.