Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 406/914, 822/580 quickly i.e. 83433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 406/914, 822/580 is 83433.
LCM(406/914, 822/580) = 83433
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 406/914,822/580
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 406,822
Least Common Multiple of Numerators i.e. LCM of 406,822 is 166866.
GCF of Denominators means GCF of 914,580 as per the given fractions.
GCF of 914,580 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 406,822
2 | 406, 822 |
203, 411 |
∴ So the LCM of the given numbers is 2 x 203 x 411 = 166866
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 406,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,822) x common factors =2 x 1 = 2
LCM(406,822) = ( 406 × 822 ) / 2
LCM(406,822) = 333732 / 2
LCM(406,822) = 166866
Lets's calculate GCF of 914,580
2 | 914, 580 |
457, 290 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166866/2
Therefore the LCM of Fractions 406/914,822/580 is 83433
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 914,580 . The biggest common factor number is the GCF number.
So the greatest common factor 914,580 is 2.
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 406/914, 822/580?
Answer: LCM of Numerators as per given numbers 406/914, 822/580 is
LCM of Numerators i.e. for 406,822 is 166866
GCF of denominators i.e. for 914,580 is 2.
Thus, LCM of Fractions is 83433.Finally, LCM of Fractions for 406/914, 822/580 is 83433.