Least Common Multiple of 32/96, 45/51, 76/33, 48/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/96, 45/51, 76/33, 48/172 quickly i.e. 27360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/96, 45/51, 76/33, 48/172 is 27360.

LCM(32/96, 45/51, 76/33, 48/172) = 27360

LCM of 32/96, 45/51, 76/33, 48/172

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 32/96,45/51,76/33,48/172

Given numbers are 32/96,45/51,76/33,48/172

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 32,45,76,48

Least Common Multiple of Numerators i.e. LCM of 32,45,76,48 is 27360.

GCF of Denominators means GCF of 96,51,33,172 as per the given fractions.

GCF of 96,51,33,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,45,76,48

LCM of Fractions 32/96,45/51,76/33,48/172 is 27360

2 32, 45, 76, 48
2 16, 45, 38, 24
2 8, 45, 19, 12
2 4, 45, 19, 6
3 2, 45, 19, 3
2, 15, 19, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 15 x 19 x 1 = 27360

Least Common Multiple of 32,45,76,48 with GCF Formula

Least Common Multiple of 32,45,76,48 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 32,45,76,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,45,76,48) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(32,45,76,48) x common factors =1 x 192 = 192

LCM(32,45,76,48) = ( 32 × 45 × 76 × 48 ) / 192

LCM(32,45,76,48) = 5253120 / 192

LCM(32,45,76,48) = 27360


Lets's calculate GCF of 96,51,33,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27360/1

Therefore the LCM of Fractions 32/96,45/51,76/33,48/172 is 27360

Greatest Common Factor of 96,51,33,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,51,33,172 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 96,51,33,172 . The biggest common factor number is the GCF number.
So the greatest common factor 96,51,33,172 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 32/96, 45/51, 76/33, 48/172

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 32/96, 45/51, 76/33, 48/172?

Answer: LCM of Numerators as per given numbers 32/96, 45/51, 76/33, 48/172 is

LCM of Numerators i.e. for 32,45,76,48 is 27360

GCF of denominators i.e. for 96,51,33,172 is 1.

Thus, LCM of Fractions is 27360.Finally, LCM of Fractions for 32/96, 45/51, 76/33, 48/172 is 27360.