Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/85, 687/90, 686/295 quickly i.e. 13667178/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/85, 687/90, 686/295 is 13667178/5.
LCM(29/85, 687/90, 686/295) = 13667178/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/85,687/90,686/295
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 29,687,686
Least Common Multiple of Numerators i.e. LCM of 29,687,686 is 13667178.
GCF of Denominators means GCF of 85,90,295 as per the given fractions.
GCF of 85,90,295 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,687,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 13667178
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 29,687,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,687,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,687,686) x common factors =1 x 1 = 1
LCM(29,687,686) = ( 29 × 687 × 686 ) / 1
LCM(29,687,686) = 13667178 / 1
LCM(29,687,686) = 13667178
Lets's calculate GCF of 85,90,295
5 | 85, 90, 295 |
17, 18, 59 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13667178/5
Therefore the LCM of Fractions 29/85,687/90,686/295 is 13667178/5
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 85,90,295 . The biggest common factor number is the GCF number.
So the greatest common factor 85,90,295 is 5.
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 29/85, 687/90, 686/295?
Answer: LCM of Numerators as per given numbers 29/85, 687/90, 686/295 is
LCM of Numerators i.e. for 29,687,686 is 13667178
GCF of denominators i.e. for 85,90,295 is 5.
Thus, LCM of Fractions is 13667178/5.Finally, LCM of Fractions for 29/85, 687/90, 686/295 is 13667178/5.