Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/227, 9668/1869 quickly i.e. 222364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/227, 9668/1869 is 222364.
LCM(46/227, 9668/1869) = 222364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/227,9668/1869
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 46,9668
Least Common Multiple of Numerators i.e. LCM of 46,9668 is 222364.
GCF of Denominators means GCF of 227,1869 as per the given fractions.
GCF of 227,1869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,9668
2 | 46, 9668 |
23, 4834 |
∴ So the LCM of the given numbers is 2 x 23 x 4834 = 222364
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 46,9668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,9668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,9668) x common factors =2 x 1 = 2
LCM(46,9668) = ( 46 × 9668 ) / 2
LCM(46,9668) = 444728 / 2
LCM(46,9668) = 222364
Lets's calculate GCF of 227,1869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222364/1
Therefore the LCM of Fractions 46/227,9668/1869 is 222364
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 1869
List of positive integer factors of 1869 that divides 1869 without a remainder.
1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 227,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 227,1869 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 46/227, 9668/1869?
Answer: LCM of Numerators as per given numbers 46/227, 9668/1869 is
LCM of Numerators i.e. for 46,9668 is 222364
GCF of denominators i.e. for 227,1869 is 1.
Thus, LCM of Fractions is 222364.Finally, LCM of Fractions for 46/227, 9668/1869 is 222364.