Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/731, 82/360, 271/979 quickly i.e. 133332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/731, 82/360, 271/979 is 133332.
LCM(12/731, 82/360, 271/979) = 133332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/731,82/360,271/979
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 12,82,271
Least Common Multiple of Numerators i.e. LCM of 12,82,271 is 133332.
GCF of Denominators means GCF of 731,360,979 as per the given fractions.
GCF of 731,360,979 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,82,271
2 | 12, 82, 271 |
6, 41, 271 |
∴ So the LCM of the given numbers is 2 x 6 x 41 x 271 = 133332
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 12,82,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,82,271) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(12,82,271) x common factors =1 x 2 = 2
LCM(12,82,271) = ( 12 × 82 × 271 ) / 2
LCM(12,82,271) = 266664 / 2
LCM(12,82,271) = 133332
Lets's calculate GCF of 731,360,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133332/1
Therefore the LCM of Fractions 12/731,82/360,271/979 is 133332
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Greatest Common Factor
We found the factors 731,360,979 . The biggest common factor number is the GCF number.
So the greatest common factor 731,360,979 is 1.
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 12/731, 82/360, 271/979?
Answer: LCM of Numerators as per given numbers 12/731, 82/360, 271/979 is
LCM of Numerators i.e. for 12,82,271 is 133332
GCF of denominators i.e. for 731,360,979 is 1.
Thus, LCM of Fractions is 133332.Finally, LCM of Fractions for 12/731, 82/360, 271/979 is 133332.