Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/36, 621/83, 713/12 quickly i.e. 5332527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/36, 621/83, 713/12 is 5332527.
LCM(277/36, 621/83, 713/12) = 5332527
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/36,621/83,713/12
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 277,621,713
Least Common Multiple of Numerators i.e. LCM of 277,621,713 is 5332527.
GCF of Denominators means GCF of 36,83,12 as per the given fractions.
GCF of 36,83,12 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,621,713
23 | 277, 621, 713 |
277, 27, 31 |
∴ So the LCM of the given numbers is 23 x 277 x 27 x 31 = 5332527
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 277,621,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,621,713) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(277,621,713) x common factors =1 x 23 = 23
LCM(277,621,713) = ( 277 × 621 × 713 ) / 23
LCM(277,621,713) = 122648121 / 23
LCM(277,621,713) = 5332527
Lets's calculate GCF of 36,83,12
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5332527/1
Therefore the LCM of Fractions 277/36,621/83,713/12 is 5332527
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 36,83,12 . The biggest common factor number is the GCF number.
So the greatest common factor 36,83,12 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 277/36, 621/83, 713/12?
Answer: LCM of Numerators as per given numbers 277/36, 621/83, 713/12 is
LCM of Numerators i.e. for 277,621,713 is 5332527
GCF of denominators i.e. for 36,83,12 is 1.
Thus, LCM of Fractions is 5332527.Finally, LCM of Fractions for 277/36, 621/83, 713/12 is 5332527.