Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 107/82, 101/1708 quickly i.e. 10807/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 107/82, 101/1708 is 10807/2.
LCM(107/82, 101/1708) = 10807/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 107/82,101/1708
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 107,101
Least Common Multiple of Numerators i.e. LCM of 107,101 is 10807.
GCF of Denominators means GCF of 82,1708 as per the given fractions.
GCF of 82,1708 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 107,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 10807
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 107,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,101) x common factors =1 x 1 = 1
LCM(107,101) = ( 107 × 101 ) / 1
LCM(107,101) = 10807 / 1
LCM(107,101) = 10807
Lets's calculate GCF of 82,1708
2 | 82, 1708 |
41, 854 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10807/2
Therefore the LCM of Fractions 107/82,101/1708 is 10807/2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 1708
List of positive integer factors of 1708 that divides 1708 without a remainder.
1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 82,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 82,1708 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 107/82, 101/1708?
Answer: LCM of Numerators as per given numbers 107/82, 101/1708 is
LCM of Numerators i.e. for 107,101 is 10807
GCF of denominators i.e. for 82,1708 is 2.
Thus, LCM of Fractions is 10807/2.Finally, LCM of Fractions for 107/82, 101/1708 is 10807/2.