Least Common Multiple of 6/67, 23/127, 16/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/67, 23/127, 16/512 quickly i.e. 1104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/67, 23/127, 16/512 is 1104.

LCM(6/67, 23/127, 16/512) = 1104

LCM of 6/67, 23/127, 16/512

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 6/67,23/127,16/512

Given numbers are 6/67,23/127,16/512

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 6,23,16

Least Common Multiple of Numerators i.e. LCM of 6,23,16 is 1104.

GCF of Denominators means GCF of 67,127,512 as per the given fractions.

GCF of 67,127,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,23,16

LCM of Fractions 6/67,23/127,16/512 is 1104

2 6, 23, 16
3, 23, 8

∴ So the LCM of the given numbers is 2 x 3 x 23 x 8 = 1104

Least Common Multiple of 6,23,16 with GCF Formula

Least Common Multiple of 6,23,16 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 6,23,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,23,16) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(6,23,16) x common factors =1 x 2 = 2

LCM(6,23,16) = ( 6 × 23 × 16 ) / 2

LCM(6,23,16) = 2208 / 2

LCM(6,23,16) = 1104


Lets's calculate GCF of 67,127,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1104/1

Therefore the LCM of Fractions 6/67,23/127,16/512 is 1104

Greatest Common Factor of 67,127,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,127,512 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 67,127,512 . The biggest common factor number is the GCF number.
So the greatest common factor 67,127,512 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 6/67, 23/127, 16/512

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 6/67, 23/127, 16/512?

Answer: LCM of Numerators as per given numbers 6/67, 23/127, 16/512 is

LCM of Numerators i.e. for 6,23,16 is 1104

GCF of denominators i.e. for 67,127,512 is 1.

Thus, LCM of Fractions is 1104.Finally, LCM of Fractions for 6/67, 23/127, 16/512 is 1104.