Least Common Multiple of 32/367, 716/539, 126/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/367, 716/539, 126/128 quickly i.e. 360864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/367, 716/539, 126/128 is 360864.

LCM(32/367, 716/539, 126/128) = 360864

LCM of 32/367, 716/539, 126/128

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 32/367,716/539,126/128

Given numbers are 32/367,716/539,126/128

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 32,716,126

Least Common Multiple of Numerators i.e. LCM of 32,716,126 is 360864.

GCF of Denominators means GCF of 367,539,128 as per the given fractions.

GCF of 367,539,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,716,126

LCM of Fractions 32/367,716/539,126/128 is 360864

2 32, 716, 126
2 16, 358, 63
8, 179, 63

∴ So the LCM of the given numbers is 2 x 2 x 8 x 179 x 63 = 360864

Least Common Multiple of 32,716,126 with GCF Formula

Least Common Multiple of 32,716,126 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 32,716,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,716,126) = 2

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

GCF(32,716,126) x common factors =2 x 4 = 8

LCM(32,716,126) = ( 32 × 716 × 126 ) / 8

LCM(32,716,126) = 2886912 / 8

LCM(32,716,126) = 360864


Lets's calculate GCF of 367,539,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360864/1

Therefore the LCM of Fractions 32/367,716/539,126/128 is 360864

Greatest Common Factor of 367,539,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,539,128 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

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

Greatest Common Factor

We found the factors 367,539,128 . The biggest common factor number is the GCF number.
So the greatest common factor 367,539,128 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 32/367, 716/539, 126/128

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 32/367, 716/539, 126/128?

Answer: LCM of Numerators as per given numbers 32/367, 716/539, 126/128 is

LCM of Numerators i.e. for 32,716,126 is 360864

GCF of denominators i.e. for 367,539,128 is 1.

Thus, LCM of Fractions is 360864.Finally, LCM of Fractions for 32/367, 716/539, 126/128 is 360864.