Least Common Multiple of 14/783, 43/284, 724/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/783, 43/284, 724/575 quickly i.e. 217924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/783, 43/284, 724/575 is 217924.

LCM(14/783, 43/284, 724/575) = 217924

LCM of 14/783, 43/284, 724/575

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 14/783,43/284,724/575

Given numbers are 14/783,43/284,724/575

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 14,43,724

Least Common Multiple of Numerators i.e. LCM of 14,43,724 is 217924.

GCF of Denominators means GCF of 783,284,575 as per the given fractions.

GCF of 783,284,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,43,724

LCM of Fractions 14/783,43/284,724/575 is 217924

2 14, 43, 724
7, 43, 362

∴ So the LCM of the given numbers is 2 x 7 x 43 x 362 = 217924

Least Common Multiple of 14,43,724 with GCF Formula

Least Common Multiple of 14,43,724 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 14,43,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,43,724) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,43,724) x common factors =1 x 2 = 2

LCM(14,43,724) = ( 14 × 43 × 724 ) / 2

LCM(14,43,724) = 435848 / 2

LCM(14,43,724) = 217924


Lets's calculate GCF of 783,284,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217924/1

Therefore the LCM of Fractions 14/783,43/284,724/575 is 217924

Greatest Common Factor of 783,284,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,284,575 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 783,284,575 . The biggest common factor number is the GCF number.
So the greatest common factor 783,284,575 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 14/783, 43/284, 724/575

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 14/783, 43/284, 724/575?

Answer: LCM of Numerators as per given numbers 14/783, 43/284, 724/575 is

LCM of Numerators i.e. for 14,43,724 is 217924

GCF of denominators i.e. for 783,284,575 is 1.

Thus, LCM of Fractions is 217924.Finally, LCM of Fractions for 14/783, 43/284, 724/575 is 217924.