Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/84, 35/26, 23/29, 13/670 quickly i.e. 282555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/84, 35/26, 23/29, 13/670 is 282555.
LCM(27/84, 35/26, 23/29, 13/670) = 282555
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/84,35/26,23/29,13/670
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 27,35,23,13
Least Common Multiple of Numerators i.e. LCM of 27,35,23,13 is 282555.
GCF of Denominators means GCF of 84,26,29,670 as per the given fractions.
GCF of 84,26,29,670 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,35,23,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 282555
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 27,35,23,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,35,23,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,35,23,13) x common factors =1 x 1 = 1
LCM(27,35,23,13) = ( 27 × 35 × 23 × 13 ) / 1
LCM(27,35,23,13) = 282555 / 1
LCM(27,35,23,13) = 282555
Lets's calculate GCF of 84,26,29,670
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282555/1
Therefore the LCM of Fractions 27/84,35/26,23/29,13/670 is 282555
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 84,26,29,670 . The biggest common factor number is the GCF number.
So the greatest common factor 84,26,29,670 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 27/84, 35/26, 23/29, 13/670?
Answer: LCM of Numerators as per given numbers 27/84, 35/26, 23/29, 13/670 is
LCM of Numerators i.e. for 27,35,23,13 is 282555
GCF of denominators i.e. for 84,26,29,670 is 1.
Thus, LCM of Fractions is 282555.Finally, LCM of Fractions for 27/84, 35/26, 23/29, 13/670 is 282555.