Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/82, 14/299, 907/687 quickly i.e. 901558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/82, 14/299, 907/687 is 901558.
LCM(71/82, 14/299, 907/687) = 901558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/82,14/299,907/687
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 71,14,907
Least Common Multiple of Numerators i.e. LCM of 71,14,907 is 901558.
GCF of Denominators means GCF of 82,299,687 as per the given fractions.
GCF of 82,299,687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,14,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 901558
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 71,14,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,14,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,14,907) x common factors =1 x 1 = 1
LCM(71,14,907) = ( 71 × 14 × 907 ) / 1
LCM(71,14,907) = 901558 / 1
LCM(71,14,907) = 901558
Lets's calculate GCF of 82,299,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 901558/1
Therefore the LCM of Fractions 71/82,14/299,907/687 is 901558
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 82,299,687 . The biggest common factor number is the GCF number.
So the greatest common factor 82,299,687 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 71/82, 14/299, 907/687?
Answer: LCM of Numerators as per given numbers 71/82, 14/299, 907/687 is
LCM of Numerators i.e. for 71,14,907 is 901558
GCF of denominators i.e. for 82,299,687 is 1.
Thus, LCM of Fractions is 901558.Finally, LCM of Fractions for 71/82, 14/299, 907/687 is 901558.