Least Common Multiple of 270/33, 453/4123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/33, 453/4123 quickly i.e. 40770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/33, 453/4123 is 40770.

LCM(270/33, 453/4123) = 40770

LCM of 270/33, 453/4123

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 270/33,453/4123

Given numbers are 270/33,453/4123

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 270,453

Least Common Multiple of Numerators i.e. LCM of 270,453 is 40770.

GCF of Denominators means GCF of 33,4123 as per the given fractions.

GCF of 33,4123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,453

LCM of Fractions 270/33,453/4123 is 40770

3 270, 453
90, 151

∴ So the LCM of the given numbers is 3 x 90 x 151 = 40770

Least Common Multiple of 270,453 with GCF Formula

Least Common Multiple of 270,453 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 270,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,453) = 3

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

GCF(270,453) x common factors =3 x 1 = 3

LCM(270,453) = ( 270 × 453 ) / 3

LCM(270,453) = 122310 / 3

LCM(270,453) = 40770


Lets's calculate GCF of 33,4123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40770/1

Therefore the LCM of Fractions 270/33,453/4123 is 40770

Greatest Common Factor of 33,4123 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,4123 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Greatest Common Factor

We found the factors 33,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 33,4123 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 270/33, 453/4123

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 270/33, 453/4123?

Answer: LCM of Numerators as per given numbers 270/33, 453/4123 is

LCM of Numerators i.e. for 270,453 is 40770

GCF of denominators i.e. for 33,4123 is 1.

Thus, LCM of Fractions is 40770.Finally, LCM of Fractions for 270/33, 453/4123 is 40770.