Least Common Multiple of 64/54, 31/18, 15/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/54, 31/18, 15/523 quickly i.e. 29760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/54, 31/18, 15/523 is 29760.

LCM(64/54, 31/18, 15/523) = 29760

LCM of 64/54, 31/18, 15/523

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 64/54,31/18,15/523

Given numbers are 64/54,31/18,15/523

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 64,31,15

Least Common Multiple of Numerators i.e. LCM of 64,31,15 is 29760.

GCF of Denominators means GCF of 54,18,523 as per the given fractions.

GCF of 54,18,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,31,15

LCM of Fractions 64/54,31/18,15/523 is 29760

Given numbers has no common factors except 1. So, there LCM is their product i.e 29760

Least Common Multiple of 64,31,15 with GCF Formula

Least Common Multiple of 64,31,15 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 64,31,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,31,15) = 1

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

GCF(64,31,15) x common factors =1 x 1 = 1

LCM(64,31,15) = ( 64 × 31 × 15 ) / 1

LCM(64,31,15) = 29760 / 1

LCM(64,31,15) = 29760


Lets's calculate GCF of 54,18,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29760/1

Therefore the LCM of Fractions 64/54,31/18,15/523 is 29760

Greatest Common Factor of 54,18,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,18,523 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 54,18,523 . The biggest common factor number is the GCF number.
So the greatest common factor 54,18,523 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 64/54, 31/18, 15/523

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 64/54, 31/18, 15/523?

Answer: LCM of Numerators as per given numbers 64/54, 31/18, 15/523 is

LCM of Numerators i.e. for 64,31,15 is 29760

GCF of denominators i.e. for 54,18,523 is 1.

Thus, LCM of Fractions is 29760.Finally, LCM of Fractions for 64/54, 31/18, 15/523 is 29760.