Least Common Multiple of 32/715, 24/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/715, 24/176 quickly i.e. 96/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/715, 24/176 is 96/11.

LCM(32/715, 24/176) = 96/11

LCM of 32/715, 24/176

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 32/715,24/176

Given numbers are 32/715,24/176

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 32,24

Least Common Multiple of Numerators i.e. LCM of 32,24 is 96.

GCF of Denominators means GCF of 715,176 as per the given fractions.

GCF of 715,176 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,24

LCM of Fractions 32/715,24/176 is 96/11

2 32, 24
2 16, 12
2 8, 6
4, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 3 = 96

Least Common Multiple of 32,24 with GCF Formula

Least Common Multiple of 32,24 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 32,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,24) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(32,24) x common factors =8 x 1 = 8

LCM(32,24) = ( 32 × 24 ) / 8

LCM(32,24) = 768 / 8

LCM(32,24) = 96


Lets's calculate GCF of 715,176

11 715, 176
65, 16

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96/11

Therefore the LCM of Fractions 32/715,24/176 is 96/11

Greatest Common Factor of 715,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,176 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 715,176 . The biggest common factor number is the GCF number.
So the greatest common factor 715,176 is 11.


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 32/715, 24/176

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 32/715, 24/176?

Answer: LCM of Numerators as per given numbers 32/715, 24/176 is

LCM of Numerators i.e. for 32,24 is 96

GCF of denominators i.e. for 715,176 is 11.

Thus, LCM of Fractions is 96/11.Finally, LCM of Fractions for 32/715, 24/176 is 96/11.