Least Common Multiple of 64/727, 110/392, 382/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/727, 110/392, 382/255 quickly i.e. 672320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/727, 110/392, 382/255 is 672320.

LCM(64/727, 110/392, 382/255) = 672320

LCM of 64/727, 110/392, 382/255

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 64/727,110/392,382/255

Given numbers are 64/727,110/392,382/255

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 64,110,382

Least Common Multiple of Numerators i.e. LCM of 64,110,382 is 672320.

GCF of Denominators means GCF of 727,392,255 as per the given fractions.

GCF of 727,392,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,110,382

LCM of Fractions 64/727,110/392,382/255 is 672320

2 64, 110, 382
32, 55, 191

∴ So the LCM of the given numbers is 2 x 32 x 55 x 191 = 672320

Least Common Multiple of 64,110,382 with GCF Formula

Least Common Multiple of 64,110,382 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 64,110,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,110,382) = 2

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

GCF(64,110,382) x common factors =2 x 2 = 4

LCM(64,110,382) = ( 64 × 110 × 382 ) / 4

LCM(64,110,382) = 2689280 / 4

LCM(64,110,382) = 672320


Lets's calculate GCF of 727,392,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672320/1

Therefore the LCM of Fractions 64/727,110/392,382/255 is 672320

Greatest Common Factor of 727,392,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,392,255 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 727,392,255 . The biggest common factor number is the GCF number.
So the greatest common factor 727,392,255 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 64/727, 110/392, 382/255

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 64/727, 110/392, 382/255?

Answer: LCM of Numerators as per given numbers 64/727, 110/392, 382/255 is

LCM of Numerators i.e. for 64,110,382 is 672320

GCF of denominators i.e. for 727,392,255 is 1.

Thus, LCM of Fractions is 672320.Finally, LCM of Fractions for 64/727, 110/392, 382/255 is 672320.