Least Common Multiple of 512/66, 364/67, 644/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/66, 364/67, 644/872 quickly i.e. 1071616 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, 364/67, 644/872 is 1071616.

LCM(512/66, 364/67, 644/872) = 1071616

LCM of 512/66, 364/67, 644/872

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 512/66,364/67,644/872

Given numbers are 512/66,364/67,644/872

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 512,364,644

Least Common Multiple of Numerators i.e. LCM of 512,364,644 is 1071616.

GCF of Denominators means GCF of 66,67,872 as per the given fractions.

GCF of 66,67,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,364,644

LCM of Fractions 512/66,364/67,644/872 is 1071616

2 512, 364, 644
2 256, 182, 322
7 128, 91, 161
128, 13, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 128 x 13 x 23 = 1071616

Least Common Multiple of 512,364,644 with GCF Formula

Least Common Multiple of 512,364,644 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 512,364,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,364,644) = 4

common factors(in case of two or more numbers have common factors) = 28

GCF(512,364,644) x common factors =4 x 28 = 112

LCM(512,364,644) = ( 512 × 364 × 644 ) / 112

LCM(512,364,644) = 120020992 / 112

LCM(512,364,644) = 1071616


Lets's calculate GCF of 66,67,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1071616/1

Therefore the LCM of Fractions 512/66,364/67,644/872 is 1071616

Greatest Common Factor of 66,67,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,67,872 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 66,67,872 . The biggest common factor number is the GCF number.
So the greatest common factor 66,67,872 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 512/66, 364/67, 644/872

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, 364/67, 644/872?

Answer: LCM of Numerators as per given numbers 512/66, 364/67, 644/872 is

LCM of Numerators i.e. for 512,364,644 is 1071616

GCF of denominators i.e. for 66,67,872 is 1.

Thus, LCM of Fractions is 1071616.Finally, LCM of Fractions for 512/66, 364/67, 644/872 is 1071616.