Least Common Multiple of 32/27, 55/87, 31/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/27, 55/87, 31/504 quickly i.e. 54560/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/27, 55/87, 31/504 is 54560/3.

LCM(32/27, 55/87, 31/504) = 54560/3

LCM of 32/27, 55/87, 31/504

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 32/27,55/87,31/504

Given numbers are 32/27,55/87,31/504

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 32,55,31

Least Common Multiple of Numerators i.e. LCM of 32,55,31 is 54560.

GCF of Denominators means GCF of 27,87,504 as per the given fractions.

GCF of 27,87,504 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,55,31

LCM of Fractions 32/27,55/87,31/504 is 54560/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 54560

Least Common Multiple of 32,55,31 with GCF Formula

Least Common Multiple of 32,55,31 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 32,55,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,55,31) = 1

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

GCF(32,55,31) x common factors =1 x 1 = 1

LCM(32,55,31) = ( 32 × 55 × 31 ) / 1

LCM(32,55,31) = 54560 / 1

LCM(32,55,31) = 54560


Lets's calculate GCF of 27,87,504

3 27, 87, 504
9, 29, 168

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54560/3

Therefore the LCM of Fractions 32/27,55/87,31/504 is 54560/3

Greatest Common Factor of 27,87,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,87,504 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 27,87,504 . The biggest common factor number is the GCF number.
So the greatest common factor 27,87,504 is 3.


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 32/27, 55/87, 31/504

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 32/27, 55/87, 31/504?

Answer: LCM of Numerators as per given numbers 32/27, 55/87, 31/504 is

LCM of Numerators i.e. for 32,55,31 is 54560

GCF of denominators i.e. for 27,87,504 is 3.

Thus, LCM of Fractions is 54560/3.Finally, LCM of Fractions for 32/27, 55/87, 31/504 is 54560/3.