Least Common Multiple of 720/43, 4413/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/43, 4413/215 quickly i.e. 1059120/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/43, 4413/215 is 1059120/43.

LCM(720/43, 4413/215) = 1059120/43

LCM of 720/43, 4413/215

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 720/43,4413/215

Given numbers are 720/43,4413/215

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 720,4413

Least Common Multiple of Numerators i.e. LCM of 720,4413 is 1059120.

GCF of Denominators means GCF of 43,215 as per the given fractions.

GCF of 43,215 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,4413

LCM of Fractions 720/43,4413/215 is 1059120/43

3 720, 4413
240, 1471

∴ So the LCM of the given numbers is 3 x 240 x 1471 = 1059120

Least Common Multiple of 720,4413 with GCF Formula

Least Common Multiple of 720,4413 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 720,4413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,4413) = 3

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

GCF(720,4413) x common factors =3 x 1 = 3

LCM(720,4413) = ( 720 × 4413 ) / 3

LCM(720,4413) = 3177360 / 3

LCM(720,4413) = 1059120


Lets's calculate GCF of 43,215

43 43, 215
1, 5

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1059120/43

Therefore the LCM of Fractions 720/43,4413/215 is 1059120/43

Greatest Common Factor of 43,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,215 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 43,215 . The biggest common factor number is the GCF number.
So the greatest common factor 43,215 is 43.


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 720/43, 4413/215

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 720/43, 4413/215?

Answer: LCM of Numerators as per given numbers 720/43, 4413/215 is

LCM of Numerators i.e. for 720,4413 is 1059120

GCF of denominators i.e. for 43,215 is 43.

Thus, LCM of Fractions is 1059120/43.Finally, LCM of Fractions for 720/43, 4413/215 is 1059120/43.