Least Common Multiple of 57/32, 93/28, 292/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/32, 93/28, 292/687 quickly i.e. 515964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/32, 93/28, 292/687 is 515964.

LCM(57/32, 93/28, 292/687) = 515964

LCM of 57/32, 93/28, 292/687

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 57/32,93/28,292/687

Given numbers are 57/32,93/28,292/687

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 57,93,292

Least Common Multiple of Numerators i.e. LCM of 57,93,292 is 515964.

GCF of Denominators means GCF of 32,28,687 as per the given fractions.

GCF of 32,28,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,93,292

LCM of Fractions 57/32,93/28,292/687 is 515964

3 57, 93, 292
19, 31, 292

∴ So the LCM of the given numbers is 3 x 19 x 31 x 292 = 515964

Least Common Multiple of 57,93,292 with GCF Formula

Least Common Multiple of 57,93,292 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 57,93,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,93,292) = 1

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

GCF(57,93,292) x common factors =1 x 3 = 3

LCM(57,93,292) = ( 57 × 93 × 292 ) / 3

LCM(57,93,292) = 1547892 / 3

LCM(57,93,292) = 515964


Lets's calculate GCF of 32,28,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515964/1

Therefore the LCM of Fractions 57/32,93/28,292/687 is 515964

Greatest Common Factor of 32,28,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,28,687 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 32,28,687 . The biggest common factor number is the GCF number.
So the greatest common factor 32,28,687 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 57/32, 93/28, 292/687

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 57/32, 93/28, 292/687?

Answer: LCM of Numerators as per given numbers 57/32, 93/28, 292/687 is

LCM of Numerators i.e. for 57,93,292 is 515964

GCF of denominators i.e. for 32,28,687 is 1.

Thus, LCM of Fractions is 515964.Finally, LCM of Fractions for 57/32, 93/28, 292/687 is 515964.