Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/559, 11/794, 722/506 quickly i.e. 7942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/559, 11/794, 722/506 is 7942.
LCM(22/559, 11/794, 722/506) = 7942
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/559,11/794,722/506
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 22,11,722
Least Common Multiple of Numerators i.e. LCM of 22,11,722 is 7942.
GCF of Denominators means GCF of 559,794,506 as per the given fractions.
GCF of 559,794,506 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,11,722
2 | 22, 11, 722 |
11 | 11, 11, 361 |
1, 1, 361 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 1 x 361 = 7942
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 22,11,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,11,722) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,11,722) x common factors =1 x 22 = 22
LCM(22,11,722) = ( 22 × 11 × 722 ) / 22
LCM(22,11,722) = 174724 / 22
LCM(22,11,722) = 7942
Lets's calculate GCF of 559,794,506
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7942/1
Therefore the LCM of Fractions 22/559,11/794,722/506 is 7942
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 559,794,506 . The biggest common factor number is the GCF number.
So the greatest common factor 559,794,506 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 22/559, 11/794, 722/506?
Answer: LCM of Numerators as per given numbers 22/559, 11/794, 722/506 is
LCM of Numerators i.e. for 22,11,722 is 7942
GCF of denominators i.e. for 559,794,506 is 1.
Thus, LCM of Fractions is 7942.Finally, LCM of Fractions for 22/559, 11/794, 722/506 is 7942.