Least Common Multiple of 512/72, 514/17, 735/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/72, 514/17, 735/335 quickly i.e. 96714240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/72, 514/17, 735/335 is 96714240.

LCM(512/72, 514/17, 735/335) = 96714240

LCM of 512/72, 514/17, 735/335

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 512/72,514/17,735/335

Given numbers are 512/72,514/17,735/335

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 512,514,735

Least Common Multiple of Numerators i.e. LCM of 512,514,735 is 96714240.

GCF of Denominators means GCF of 72,17,335 as per the given fractions.

GCF of 72,17,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,514,735

LCM of Fractions 512/72,514/17,735/335 is 96714240

2 512, 514, 735
256, 257, 735

∴ So the LCM of the given numbers is 2 x 256 x 257 x 735 = 96714240

Least Common Multiple of 512,514,735 with GCF Formula

Least Common Multiple of 512,514,735 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 512,514,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,514,735) = 1

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

GCF(512,514,735) x common factors =1 x 2 = 2

LCM(512,514,735) = ( 512 × 514 × 735 ) / 2

LCM(512,514,735) = 193428480 / 2

LCM(512,514,735) = 96714240


Lets's calculate GCF of 72,17,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96714240/1

Therefore the LCM of Fractions 512/72,514/17,735/335 is 96714240

Greatest Common Factor of 72,17,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,17,335 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 72,17,335 . The biggest common factor number is the GCF number.
So the greatest common factor 72,17,335 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 512/72, 514/17, 735/335

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 512/72, 514/17, 735/335?

Answer: LCM of Numerators as per given numbers 512/72, 514/17, 735/335 is

LCM of Numerators i.e. for 512,514,735 is 96714240

GCF of denominators i.e. for 72,17,335 is 1.

Thus, LCM of Fractions is 96714240.Finally, LCM of Fractions for 512/72, 514/17, 735/335 is 96714240.