Least Common Multiple of 512/66, 212/12, 183/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/66, 212/12, 183/744 quickly i.e. 827648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/66, 212/12, 183/744 is 827648.

LCM(512/66, 212/12, 183/744) = 827648

LCM of 512/66, 212/12, 183/744

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 512/66,212/12,183/744

Given numbers are 512/66,212/12,183/744

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 512,212,183

Least Common Multiple of Numerators i.e. LCM of 512,212,183 is 4965888.

GCF of Denominators means GCF of 66,12,744 as per the given fractions.

GCF of 66,12,744 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,212,183

LCM of Fractions 512/66,212/12,183/744 is 827648

2 512, 212, 183
2 256, 106, 183
128, 53, 183

∴ So the LCM of the given numbers is 2 x 2 x 128 x 53 x 183 = 4965888

Least Common Multiple of 512,212,183 with GCF Formula

Least Common Multiple of 512,212,183 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 512,212,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,212,183) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(512,212,183) x common factors =1 x 4 = 4

LCM(512,212,183) = ( 512 × 212 × 183 ) / 4

LCM(512,212,183) = 19863552 / 4

LCM(512,212,183) = 4965888


Lets's calculate GCF of 66,12,744

2 66, 12, 744
3 33, 6, 372
11, 2, 124

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4965888/6

Therefore the LCM of Fractions 512/66,212/12,183/744 is 827648

Greatest Common Factor of 66,12,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,12,744 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 66,12,744 . The biggest common factor number is the GCF number.
So the greatest common factor 66,12,744 is 6.


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 512/66, 212/12, 183/744

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 512/66, 212/12, 183/744?

Answer: LCM of Numerators as per given numbers 512/66, 212/12, 183/744 is

LCM of Numerators i.e. for 512,212,183 is 4965888

GCF of denominators i.e. for 66,12,744 is 6.

Thus, LCM of Fractions is 827648.Finally, LCM of Fractions for 512/66, 212/12, 183/744 is 827648.