Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/262, 605/393, 863/689 quickly i.e. 1044230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/262, 605/393, 863/689 is 1044230.
LCM(22/262, 605/393, 863/689) = 1044230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/262,605/393,863/689
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 22,605,863
Least Common Multiple of Numerators i.e. LCM of 22,605,863 is 1044230.
GCF of Denominators means GCF of 262,393,689 as per the given fractions.
GCF of 262,393,689 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,605,863
11 | 22, 605, 863 |
2, 55, 863 |
∴ So the LCM of the given numbers is 11 x 2 x 55 x 863 = 1044230
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 22,605,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,605,863) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(22,605,863) x common factors =1 x 11 = 11
LCM(22,605,863) = ( 22 × 605 × 863 ) / 11
LCM(22,605,863) = 11486530 / 11
LCM(22,605,863) = 1044230
Lets's calculate GCF of 262,393,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1044230/1
Therefore the LCM of Fractions 22/262,605/393,863/689 is 1044230
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Greatest Common Factor
We found the factors 262,393,689 . The biggest common factor number is the GCF number.
So the greatest common factor 262,393,689 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 22/262, 605/393, 863/689?
Answer: LCM of Numerators as per given numbers 22/262, 605/393, 863/689 is
LCM of Numerators i.e. for 22,605,863 is 1044230
GCF of denominators i.e. for 262,393,689 is 1.
Thus, LCM of Fractions is 1044230.Finally, LCM of Fractions for 22/262, 605/393, 863/689 is 1044230.