Least Common Multiple of 1728/473, 1385/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1728/473, 1385/715 quickly i.e. 2393280/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1728/473, 1385/715 is 2393280/11.

LCM(1728/473, 1385/715) = 2393280/11

LCM of 1728/473, 1385/715

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 1728/473,1385/715

Given numbers are 1728/473,1385/715

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 1728,1385

Least Common Multiple of Numerators i.e. LCM of 1728,1385 is 2393280.

GCF of Denominators means GCF of 473,715 as per the given fractions.

GCF of 473,715 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1728,1385

LCM of Fractions 1728/473,1385/715 is 2393280/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2393280

Least Common Multiple of 1728,1385 with GCF Formula

Least Common Multiple of 1728,1385 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 1728,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1728,1385) = 1

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

GCF(1728,1385) x common factors =1 x 1 = 1

LCM(1728,1385) = ( 1728 × 1385 ) / 1

LCM(1728,1385) = 2393280 / 1

LCM(1728,1385) = 2393280


Lets's calculate GCF of 473,715

11 473, 715
43, 65

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2393280/11

Therefore the LCM of Fractions 1728/473,1385/715 is 2393280/11

Greatest Common Factor of 473,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,715 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 473,715 . The biggest common factor number is the GCF number.
So the greatest common factor 473,715 is 11.


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 1728/473, 1385/715

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 1728/473, 1385/715?

Answer: LCM of Numerators as per given numbers 1728/473, 1385/715 is

LCM of Numerators i.e. for 1728,1385 is 2393280

GCF of denominators i.e. for 473,715 is 11.

Thus, LCM of Fractions is 2393280/11.Finally, LCM of Fractions for 1728/473, 1385/715 is 2393280/11.