Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/41, 22/611, 80/499 quickly i.e. 880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/41, 22/611, 80/499 is 880.
LCM(8/41, 22/611, 80/499) = 880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/41,22/611,80/499
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 8,22,80
Least Common Multiple of Numerators i.e. LCM of 8,22,80 is 880.
GCF of Denominators means GCF of 41,611,499 as per the given fractions.
GCF of 41,611,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,22,80
2 | 8, 22, 80 |
2 | 4, 11, 40 |
2 | 2, 11, 20 |
1, 11, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 11 x 10 = 880
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 8,22,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,22,80) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(8,22,80) x common factors =2 x 8 = 16
LCM(8,22,80) = ( 8 × 22 × 80 ) / 16
LCM(8,22,80) = 14080 / 16
LCM(8,22,80) = 880
Lets's calculate GCF of 41,611,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880/1
Therefore the LCM of Fractions 8/41,22/611,80/499 is 880
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 41,611,499 . The biggest common factor number is the GCF number.
So the greatest common factor 41,611,499 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 8/41, 22/611, 80/499?
Answer: LCM of Numerators as per given numbers 8/41, 22/611, 80/499 is
LCM of Numerators i.e. for 8,22,80 is 880
GCF of denominators i.e. for 41,611,499 is 1.
Thus, LCM of Fractions is 880.Finally, LCM of Fractions for 8/41, 22/611, 80/499 is 880.