Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/85, 101/87, 909/550 quickly i.e. 74538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/85, 101/87, 909/550 is 74538.
LCM(82/85, 101/87, 909/550) = 74538
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/85,101/87,909/550
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 82,101,909
Least Common Multiple of Numerators i.e. LCM of 82,101,909 is 74538.
GCF of Denominators means GCF of 85,87,550 as per the given fractions.
GCF of 85,87,550 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,101,909
101 | 82, 101, 909 |
82, 1, 9 |
∴ So the LCM of the given numbers is 101 x 82 x 1 x 9 = 74538
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 82,101,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,101,909) = 1
common factors(in case of two or more numbers have common factors) = 101
GCF(82,101,909) x common factors =1 x 101 = 101
LCM(82,101,909) = ( 82 × 101 × 909 ) / 101
LCM(82,101,909) = 7528338 / 101
LCM(82,101,909) = 74538
Lets's calculate GCF of 85,87,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74538/1
Therefore the LCM of Fractions 82/85,101/87,909/550 is 74538
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 85,87,550 . The biggest common factor number is the GCF number.
So the greatest common factor 85,87,550 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 82/85, 101/87, 909/550?
Answer: LCM of Numerators as per given numbers 82/85, 101/87, 909/550 is
LCM of Numerators i.e. for 82,101,909 is 74538
GCF of denominators i.e. for 85,87,550 is 1.
Thus, LCM of Fractions is 74538.Finally, LCM of Fractions for 82/85, 101/87, 909/550 is 74538.