Least Common Multiple of 64/576, 40/750, 936/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/576, 40/750, 936/771 quickly i.e. 12480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/576, 40/750, 936/771 is 12480.

LCM(64/576, 40/750, 936/771) = 12480

LCM of 64/576, 40/750, 936/771

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 64/576,40/750,936/771

Given numbers are 64/576,40/750,936/771

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 64,40,936

Least Common Multiple of Numerators i.e. LCM of 64,40,936 is 37440.

GCF of Denominators means GCF of 576,750,771 as per the given fractions.

GCF of 576,750,771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,40,936

LCM of Fractions 64/576,40/750,936/771 is 12480

2 64, 40, 936
2 32, 20, 468
2 16, 10, 234
8, 5, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 5 x 117 = 37440

Least Common Multiple of 64,40,936 with GCF Formula

Least Common Multiple of 64,40,936 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 64,40,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,40,936) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(64,40,936) x common factors =8 x 8 = 64

LCM(64,40,936) = ( 64 × 40 × 936 ) / 64

LCM(64,40,936) = 2396160 / 64

LCM(64,40,936) = 37440


Lets's calculate GCF of 576,750,771

3 576, 750, 771
192, 250, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37440/3

Therefore the LCM of Fractions 64/576,40/750,936/771 is 12480

Greatest Common Factor of 576,750,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,750,771 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 576,750,771 . The biggest common factor number is the GCF number.
So the greatest common factor 576,750,771 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 64/576, 40/750, 936/771

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 64/576, 40/750, 936/771?

Answer: LCM of Numerators as per given numbers 64/576, 40/750, 936/771 is

LCM of Numerators i.e. for 64,40,936 is 37440

GCF of denominators i.e. for 576,750,771 is 3.

Thus, LCM of Fractions is 12480.Finally, LCM of Fractions for 64/576, 40/750, 936/771 is 12480.