Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 107/174, 2084/682 quickly i.e. 111494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 107/174, 2084/682 is 111494.
LCM(107/174, 2084/682) = 111494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 107/174,2084/682
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 107,2084
Least Common Multiple of Numerators i.e. LCM of 107,2084 is 222988.
GCF of Denominators means GCF of 174,682 as per the given fractions.
GCF of 174,682 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 107,2084
Given numbers has no common factors except 1. So, there LCM is their product i.e 222988
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 107,2084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,2084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,2084) x common factors =1 x 1 = 1
LCM(107,2084) = ( 107 × 2084 ) / 1
LCM(107,2084) = 222988 / 1
LCM(107,2084) = 222988
Lets's calculate GCF of 174,682
2 | 174, 682 |
87, 341 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222988/2
Therefore the LCM of Fractions 107/174,2084/682 is 111494
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 174,682 . The biggest common factor number is the GCF number.
So the greatest common factor 174,682 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 107/174, 2084/682?
Answer: LCM of Numerators as per given numbers 107/174, 2084/682 is
LCM of Numerators i.e. for 107,2084 is 222988
GCF of denominators i.e. for 174,682 is 2.
Thus, LCM of Fractions is 111494.Finally, LCM of Fractions for 107/174, 2084/682 is 111494.