Least Common Multiple of 32/56, 59/28, 96/70, 75/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/56, 59/28, 96/70, 75/58 quickly i.e. 70800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/56, 59/28, 96/70, 75/58 is 70800.

LCM(32/56, 59/28, 96/70, 75/58) = 70800

LCM of 32/56, 59/28, 96/70, 75/58

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 32/56,59/28,96/70,75/58

Given numbers are 32/56,59/28,96/70,75/58

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 32,59,96,75

Least Common Multiple of Numerators i.e. LCM of 32,59,96,75 is 141600.

GCF of Denominators means GCF of 56,28,70,58 as per the given fractions.

GCF of 56,28,70,58 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,59,96,75

LCM of Fractions 32/56,59/28,96/70,75/58 is 70800

2 32, 59, 96, 75
2 16, 59, 48, 75
2 8, 59, 24, 75
2 4, 59, 12, 75
2 2, 59, 6, 75
3 1, 59, 3, 75
1, 59, 1, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 59 x 1 x 25 = 141600

Least Common Multiple of 32,59,96,75 with GCF Formula

Least Common Multiple of 32,59,96,75 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 32,59,96,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,59,96,75) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(32,59,96,75) x common factors =1 x 96 = 96

LCM(32,59,96,75) = ( 32 × 59 × 96 × 75 ) / 96

LCM(32,59,96,75) = 13593600 / 96

LCM(32,59,96,75) = 141600


Lets's calculate GCF of 56,28,70,58

2 56, 28, 70, 58
28, 14, 35, 29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141600/2

Therefore the LCM of Fractions 32/56,59/28,96/70,75/58 is 70800

Greatest Common Factor of 56,28,70,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,28,70,58 By Matching Biggest Common Factor Method

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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 56,28,70,58 . The biggest common factor number is the GCF number.
So the greatest common factor 56,28,70,58 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 32/56, 59/28, 96/70, 75/58

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 32/56, 59/28, 96/70, 75/58?

Answer: LCM of Numerators as per given numbers 32/56, 59/28, 96/70, 75/58 is

LCM of Numerators i.e. for 32,59,96,75 is 141600

GCF of denominators i.e. for 56,28,70,58 is 2.

Thus, LCM of Fractions is 70800.Finally, LCM of Fractions for 32/56, 59/28, 96/70, 75/58 is 70800.