Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 682/10, 328/1060 quickly i.e. 111848/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 682/10, 328/1060 is 111848/10.
LCM(682/10, 328/1060) = 111848/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 682/10,328/1060
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 682,328
Least Common Multiple of Numerators i.e. LCM of 682,328 is 111848.
GCF of Denominators means GCF of 10,1060 as per the given fractions.
GCF of 10,1060 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 682,328
2 | 682, 328 |
341, 164 |
∴ So the LCM of the given numbers is 2 x 341 x 164 = 111848
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 682,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,328) x common factors =2 x 1 = 2
LCM(682,328) = ( 682 × 328 ) / 2
LCM(682,328) = 223696 / 2
LCM(682,328) = 111848
Lets's calculate GCF of 10,1060
2 | 10, 1060 |
5 | 5, 530 |
1, 106 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111848/10
Therefore the LCM of Fractions 682/10,328/1060 is 111848/10
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 1060
List of positive integer factors of 1060 that divides 1060 without a remainder.
1,2,4,5,10,20,53,106,212,265,530,1060
Greatest Common Factor
We found the factors 10,1060 . The biggest common factor number is the GCF number.
So the greatest common factor 10,1060 is 10.
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 682/10, 328/1060?
Answer: LCM of Numerators as per given numbers 682/10, 328/1060 is
LCM of Numerators i.e. for 682,328 is 111848
GCF of denominators i.e. for 10,1060 is 10.
Thus, LCM of Fractions is 111848/10.Finally, LCM of Fractions for 682/10, 328/1060 is 111848/10.