Least Common Multiple of 32/80, 54/99, 936/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/80, 54/99, 936/628 quickly i.e. 11232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/80, 54/99, 936/628 is 11232.

LCM(32/80, 54/99, 936/628) = 11232

LCM of 32/80, 54/99, 936/628

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 32/80,54/99,936/628

Given numbers are 32/80,54/99,936/628

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 32,54,936

Least Common Multiple of Numerators i.e. LCM of 32,54,936 is 11232.

GCF of Denominators means GCF of 80,99,628 as per the given fractions.

GCF of 80,99,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,54,936

LCM of Fractions 32/80,54/99,936/628 is 11232

2 32, 54, 936
2 16, 27, 468
2 8, 27, 234
3 4, 27, 117
3 4, 9, 39
4, 3, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 3 x 13 = 11232

Least Common Multiple of 32,54,936 with GCF Formula

Least Common Multiple of 32,54,936 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 32,54,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,54,936) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(32,54,936) x common factors =2 x 72 = 144

LCM(32,54,936) = ( 32 × 54 × 936 ) / 144

LCM(32,54,936) = 1617408 / 144

LCM(32,54,936) = 11232


Lets's calculate GCF of 80,99,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11232/1

Therefore the LCM of Fractions 32/80,54/99,936/628 is 11232

Greatest Common Factor of 80,99,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,99,628 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 80,99,628 . The biggest common factor number is the GCF number.
So the greatest common factor 80,99,628 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 32/80, 54/99, 936/628

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 32/80, 54/99, 936/628?

Answer: LCM of Numerators as per given numbers 32/80, 54/99, 936/628 is

LCM of Numerators i.e. for 32,54,936 is 11232

GCF of denominators i.e. for 80,99,628 is 1.

Thus, LCM of Fractions is 11232.Finally, LCM of Fractions for 32/80, 54/99, 936/628 is 11232.