Least Common Multiple of 93/857, 39/757, 385/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/857, 39/757, 385/493 quickly i.e. 465465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/857, 39/757, 385/493 is 465465.

LCM(93/857, 39/757, 385/493) = 465465

LCM of 93/857, 39/757, 385/493

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 93/857,39/757,385/493

Given numbers are 93/857,39/757,385/493

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 93,39,385

Least Common Multiple of Numerators i.e. LCM of 93,39,385 is 465465.

GCF of Denominators means GCF of 857,757,493 as per the given fractions.

GCF of 857,757,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,39,385

LCM of Fractions 93/857,39/757,385/493 is 465465

3 93, 39, 385
31, 13, 385

∴ So the LCM of the given numbers is 3 x 31 x 13 x 385 = 465465

Least Common Multiple of 93,39,385 with GCF Formula

Least Common Multiple of 93,39,385 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 93,39,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,39,385) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,39,385) x common factors =1 x 3 = 3

LCM(93,39,385) = ( 93 × 39 × 385 ) / 3

LCM(93,39,385) = 1396395 / 3

LCM(93,39,385) = 465465


Lets's calculate GCF of 857,757,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465465/1

Therefore the LCM of Fractions 93/857,39/757,385/493 is 465465

Greatest Common Factor of 857,757,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,757,493 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 857,757,493 . The biggest common factor number is the GCF number.
So the greatest common factor 857,757,493 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 93/857, 39/757, 385/493

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 93/857, 39/757, 385/493?

Answer: LCM of Numerators as per given numbers 93/857, 39/757, 385/493 is

LCM of Numerators i.e. for 93,39,385 is 465465

GCF of denominators i.e. for 857,757,493 is 1.

Thus, LCM of Fractions is 465465.Finally, LCM of Fractions for 93/857, 39/757, 385/493 is 465465.