Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 631/682, 241/132 quickly i.e. 152071/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 631/682, 241/132 is 152071/22.
LCM(631/682, 241/132) = 152071/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 631/682,241/132
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 631,241
Least Common Multiple of Numerators i.e. LCM of 631,241 is 152071.
GCF of Denominators means GCF of 682,132 as per the given fractions.
GCF of 682,132 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 631,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 152071
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 631,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,241) x common factors =1 x 1 = 1
LCM(631,241) = ( 631 × 241 ) / 1
LCM(631,241) = 152071 / 1
LCM(631,241) = 152071
Lets's calculate GCF of 682,132
2 | 682, 132 |
11 | 341, 66 |
31, 6 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152071/22
Therefore the LCM of Fractions 631/682,241/132 is 152071/22
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 682,132 . The biggest common factor number is the GCF number.
So the greatest common factor 682,132 is 22.
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 631/682, 241/132?
Answer: LCM of Numerators as per given numbers 631/682, 241/132 is
LCM of Numerators i.e. for 631,241 is 152071
GCF of denominators i.e. for 682,132 is 22.
Thus, LCM of Fractions is 152071/22.Finally, LCM of Fractions for 631/682, 241/132 is 152071/22.