Least Common Multiple of 57/46, 56/32, 65/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/46, 56/32, 65/288 quickly i.e. 103740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/46, 56/32, 65/288 is 103740.

LCM(57/46, 56/32, 65/288) = 103740

LCM of 57/46, 56/32, 65/288

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 57/46,56/32,65/288

Given numbers are 57/46,56/32,65/288

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 57,56,65

Least Common Multiple of Numerators i.e. LCM of 57,56,65 is 207480.

GCF of Denominators means GCF of 46,32,288 as per the given fractions.

GCF of 46,32,288 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,56,65

LCM of Fractions 57/46,56/32,65/288 is 103740

Given numbers has no common factors except 1. So, there LCM is their product i.e 207480

Least Common Multiple of 57,56,65 with GCF Formula

Least Common Multiple of 57,56,65 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 57,56,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,56,65) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,56,65) x common factors =1 x 1 = 1

LCM(57,56,65) = ( 57 × 56 × 65 ) / 1

LCM(57,56,65) = 207480 / 1

LCM(57,56,65) = 207480


Lets's calculate GCF of 46,32,288

2 46, 32, 288
23, 16, 144

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207480/2

Therefore the LCM of Fractions 57/46,56/32,65/288 is 103740

Greatest Common Factor of 46,32,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,32,288 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 32

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

1,2,4,8,16,32

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 46,32,288 . The biggest common factor number is the GCF number.
So the greatest common factor 46,32,288 is 2.


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 57/46, 56/32, 65/288

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 57/46, 56/32, 65/288?

Answer: LCM of Numerators as per given numbers 57/46, 56/32, 65/288 is

LCM of Numerators i.e. for 57,56,65 is 207480

GCF of denominators i.e. for 46,32,288 is 2.

Thus, LCM of Fractions is 103740.Finally, LCM of Fractions for 57/46, 56/32, 65/288 is 103740.