Least Common Multiple of 32/24, 75/56, 58/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/24, 75/56, 58/315 quickly i.e. 69600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/24, 75/56, 58/315 is 69600.

LCM(32/24, 75/56, 58/315) = 69600

LCM of 32/24, 75/56, 58/315

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 32/24,75/56,58/315

Given numbers are 32/24,75/56,58/315

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 32,75,58

Least Common Multiple of Numerators i.e. LCM of 32,75,58 is 69600.

GCF of Denominators means GCF of 24,56,315 as per the given fractions.

GCF of 24,56,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,75,58

LCM of Fractions 32/24,75/56,58/315 is 69600

2 32, 75, 58
16, 75, 29

∴ So the LCM of the given numbers is 2 x 16 x 75 x 29 = 69600

Least Common Multiple of 32,75,58 with GCF Formula

Least Common Multiple of 32,75,58 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 32,75,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,75,58) = 1

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

GCF(32,75,58) x common factors =1 x 2 = 2

LCM(32,75,58) = ( 32 × 75 × 58 ) / 2

LCM(32,75,58) = 139200 / 2

LCM(32,75,58) = 69600


Lets's calculate GCF of 24,56,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69600/1

Therefore the LCM of Fractions 32/24,75/56,58/315 is 69600

Greatest Common Factor of 24,56,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,56,315 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 24,56,315 . The biggest common factor number is the GCF number.
So the greatest common factor 24,56,315 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 32/24, 75/56, 58/315

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 32/24, 75/56, 58/315?

Answer: LCM of Numerators as per given numbers 32/24, 75/56, 58/315 is

LCM of Numerators i.e. for 32,75,58 is 69600

GCF of denominators i.e. for 24,56,315 is 1.

Thus, LCM of Fractions is 69600.Finally, LCM of Fractions for 32/24, 75/56, 58/315 is 69600.