Least Common Multiple of 234/47, 3111/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/47, 3111/270 quickly i.e. 242658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/47, 3111/270 is 242658.

LCM(234/47, 3111/270) = 242658

LCM of 234/47, 3111/270

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 234/47,3111/270

Given numbers are 234/47,3111/270

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 234,3111

Least Common Multiple of Numerators i.e. LCM of 234,3111 is 242658.

GCF of Denominators means GCF of 47,270 as per the given fractions.

GCF of 47,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,3111

LCM of Fractions 234/47,3111/270 is 242658

3 234, 3111
78, 1037

∴ So the LCM of the given numbers is 3 x 78 x 1037 = 242658

Least Common Multiple of 234,3111 with GCF Formula

Least Common Multiple of 234,3111 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 234,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,3111) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(234,3111) x common factors =3 x 1 = 3

LCM(234,3111) = ( 234 × 3111 ) / 3

LCM(234,3111) = 727974 / 3

LCM(234,3111) = 242658


Lets's calculate GCF of 47,270

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242658/1

Therefore the LCM of Fractions 234/47,3111/270 is 242658

Greatest Common Factor of 47,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,270 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 47,270 . The biggest common factor number is the GCF number.
So the greatest common factor 47,270 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 234/47, 3111/270

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 234/47, 3111/270?

Answer: LCM of Numerators as per given numbers 234/47, 3111/270 is

LCM of Numerators i.e. for 234,3111 is 242658

GCF of denominators i.e. for 47,270 is 1.

Thus, LCM of Fractions is 242658.Finally, LCM of Fractions for 234/47, 3111/270 is 242658.