Least Common Multiple of 270/29, 122/2021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/29, 122/2021 quickly i.e. 16470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/29, 122/2021 is 16470.

LCM(270/29, 122/2021) = 16470

LCM of 270/29, 122/2021

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 270/29,122/2021

Given numbers are 270/29,122/2021

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 270,122

Least Common Multiple of Numerators i.e. LCM of 270,122 is 16470.

GCF of Denominators means GCF of 29,2021 as per the given fractions.

GCF of 29,2021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,122

LCM of Fractions 270/29,122/2021 is 16470

2 270, 122
135, 61

∴ So the LCM of the given numbers is 2 x 135 x 61 = 16470

Least Common Multiple of 270,122 with GCF Formula

Least Common Multiple of 270,122 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 270,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,122) = 2

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

GCF(270,122) x common factors =2 x 1 = 2

LCM(270,122) = ( 270 × 122 ) / 2

LCM(270,122) = 32940 / 2

LCM(270,122) = 16470


Lets's calculate GCF of 29,2021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16470/1

Therefore the LCM of Fractions 270/29,122/2021 is 16470

Greatest Common Factor of 29,2021 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,2021 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1,43,47,2021

Greatest Common Factor

We found the factors 29,2021 . The biggest common factor number is the GCF number.
So the greatest common factor 29,2021 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 270/29, 122/2021

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 270/29, 122/2021?

Answer: LCM of Numerators as per given numbers 270/29, 122/2021 is

LCM of Numerators i.e. for 270,122 is 16470

GCF of denominators i.e. for 29,2021 is 1.

Thus, LCM of Fractions is 16470.Finally, LCM of Fractions for 270/29, 122/2021 is 16470.