Least Common Multiple of 11/64, 144/42, 326/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/64, 144/42, 326/716 quickly i.e. 129096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/64, 144/42, 326/716 is 129096.

LCM(11/64, 144/42, 326/716) = 129096

LCM of 11/64, 144/42, 326/716

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 11/64,144/42,326/716

Given numbers are 11/64,144/42,326/716

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 11,144,326

Least Common Multiple of Numerators i.e. LCM of 11,144,326 is 258192.

GCF of Denominators means GCF of 64,42,716 as per the given fractions.

GCF of 64,42,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,144,326

LCM of Fractions 11/64,144/42,326/716 is 129096

2 11, 144, 326
11, 72, 163

∴ So the LCM of the given numbers is 2 x 11 x 72 x 163 = 258192

Least Common Multiple of 11,144,326 with GCF Formula

Least Common Multiple of 11,144,326 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 11,144,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,144,326) = 1

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

GCF(11,144,326) x common factors =1 x 2 = 2

LCM(11,144,326) = ( 11 × 144 × 326 ) / 2

LCM(11,144,326) = 516384 / 2

LCM(11,144,326) = 258192


Lets's calculate GCF of 64,42,716

2 64, 42, 716
32, 21, 358

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258192/2

Therefore the LCM of Fractions 11/64,144/42,326/716 is 129096

Greatest Common Factor of 64,42,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,42,716 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 64,42,716 . The biggest common factor number is the GCF number.
So the greatest common factor 64,42,716 is 2.


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 11/64, 144/42, 326/716

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 11/64, 144/42, 326/716?

Answer: LCM of Numerators as per given numbers 11/64, 144/42, 326/716 is

LCM of Numerators i.e. for 11,144,326 is 258192

GCF of denominators i.e. for 64,42,716 is 2.

Thus, LCM of Fractions is 129096.Finally, LCM of Fractions for 11/64, 144/42, 326/716 is 129096.