Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/27, 12/29, 58/69, 65/473 quickly i.e. 701220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/27, 12/29, 58/69, 65/473 is 701220.
LCM(31/27, 12/29, 58/69, 65/473) = 701220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/27,12/29,58/69,65/473
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 31,12,58,65
Least Common Multiple of Numerators i.e. LCM of 31,12,58,65 is 701220.
GCF of Denominators means GCF of 27,29,69,473 as per the given fractions.
GCF of 27,29,69,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,12,58,65
2 | 31, 12, 58, 65 |
31, 6, 29, 65 |
∴ So the LCM of the given numbers is 2 x 31 x 6 x 29 x 65 = 701220
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 31,12,58,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,12,58,65) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(31,12,58,65) x common factors =1 x 2 = 2
LCM(31,12,58,65) = ( 31 × 12 × 58 × 65 ) / 2
LCM(31,12,58,65) = 1402440 / 2
LCM(31,12,58,65) = 701220
Lets's calculate GCF of 27,29,69,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 701220/1
Therefore the LCM of Fractions 31/27,12/29,58/69,65/473 is 701220
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 27,29,69,473 . The biggest common factor number is the GCF number.
So the greatest common factor 27,29,69,473 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 31/27, 12/29, 58/69, 65/473?
Answer: LCM of Numerators as per given numbers 31/27, 12/29, 58/69, 65/473 is
LCM of Numerators i.e. for 31,12,58,65 is 701220
GCF of denominators i.e. for 27,29,69,473 is 1.
Thus, LCM of Fractions is 701220.Finally, LCM of Fractions for 31/27, 12/29, 58/69, 65/473 is 701220.