Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/11, 42/57, 342/228 quickly i.e. 55062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/11, 42/57, 342/228 is 55062.
LCM(23/11, 42/57, 342/228) = 55062
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/11,42/57,342/228
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 23,42,342
Least Common Multiple of Numerators i.e. LCM of 23,42,342 is 55062.
GCF of Denominators means GCF of 11,57,228 as per the given fractions.
GCF of 11,57,228 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,42,342
2 | 23, 42, 342 |
3 | 23, 21, 171 |
23, 7, 57 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 57 = 55062
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 23,42,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,42,342) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(23,42,342) x common factors =1 x 6 = 6
LCM(23,42,342) = ( 23 × 42 × 342 ) / 6
LCM(23,42,342) = 330372 / 6
LCM(23,42,342) = 55062
Lets's calculate GCF of 11,57,228
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55062/1
Therefore the LCM of Fractions 23/11,42/57,342/228 is 55062
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 11,57,228 . The biggest common factor number is the GCF number.
So the greatest common factor 11,57,228 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 23/11, 42/57, 342/228?
Answer: LCM of Numerators as per given numbers 23/11, 42/57, 342/228 is
LCM of Numerators i.e. for 23,42,342 is 55062
GCF of denominators i.e. for 11,57,228 is 1.
Thus, LCM of Fractions is 55062.Finally, LCM of Fractions for 23/11, 42/57, 342/228 is 55062.