Least Common Multiple of 23/11, 42/57, 342/228

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

LCM of 23/11, 42/57, 342/228

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/11,42/57,342/228

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

LCM of Fractions 23/11,42/57,342/228 is 55062

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

Least Common Multiple of 23,42,342 with GCF Formula

Least Common Multiple of 23,42,342 with GCF Formula

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

Greatest Common Factor of 11,57,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,57,228 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 23/11, 42/57, 342/228

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.