Least Common Multiple of 720/333, 2019/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/333, 2019/212 quickly i.e. 484560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/333, 2019/212 is 484560.

LCM(720/333, 2019/212) = 484560

LCM of 720/333, 2019/212

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 720/333,2019/212

Given numbers are 720/333,2019/212

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 720,2019

Least Common Multiple of Numerators i.e. LCM of 720,2019 is 484560.

GCF of Denominators means GCF of 333,212 as per the given fractions.

GCF of 333,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,2019

LCM of Fractions 720/333,2019/212 is 484560

3 720, 2019
240, 673

∴ So the LCM of the given numbers is 3 x 240 x 673 = 484560

Least Common Multiple of 720,2019 with GCF Formula

Least Common Multiple of 720,2019 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 720,2019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,2019) = 3

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

GCF(720,2019) x common factors =3 x 1 = 3

LCM(720,2019) = ( 720 × 2019 ) / 3

LCM(720,2019) = 1453680 / 3

LCM(720,2019) = 484560


Lets's calculate GCF of 333,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484560/1

Therefore the LCM of Fractions 720/333,2019/212 is 484560

Greatest Common Factor of 333,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,212 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 333,212 . The biggest common factor number is the GCF number.
So the greatest common factor 333,212 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 720/333, 2019/212

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 720/333, 2019/212?

Answer: LCM of Numerators as per given numbers 720/333, 2019/212 is

LCM of Numerators i.e. for 720,2019 is 484560

GCF of denominators i.e. for 333,212 is 1.

Thus, LCM of Fractions is 484560.Finally, LCM of Fractions for 720/333, 2019/212 is 484560.