Least Common Multiple of 64/66, 93/32, 20/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/66, 93/32, 20/660 quickly i.e. 14880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/66, 93/32, 20/660 is 14880.

LCM(64/66, 93/32, 20/660) = 14880

LCM of 64/66, 93/32, 20/660

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 64/66,93/32,20/660

Given numbers are 64/66,93/32,20/660

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 64,93,20

Least Common Multiple of Numerators i.e. LCM of 64,93,20 is 29760.

GCF of Denominators means GCF of 66,32,660 as per the given fractions.

GCF of 66,32,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,93,20

LCM of Fractions 64/66,93/32,20/660 is 14880

2 64, 93, 20
2 32, 93, 10
16, 93, 5

∴ So the LCM of the given numbers is 2 x 2 x 16 x 93 x 5 = 29760

Least Common Multiple of 64,93,20 with GCF Formula

Least Common Multiple of 64,93,20 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 64,93,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,93,20) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,93,20) x common factors =1 x 4 = 4

LCM(64,93,20) = ( 64 × 93 × 20 ) / 4

LCM(64,93,20) = 119040 / 4

LCM(64,93,20) = 29760


Lets's calculate GCF of 66,32,660

2 66, 32, 660
33, 16, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29760/2

Therefore the LCM of Fractions 64/66,93/32,20/660 is 14880

Greatest Common Factor of 66,32,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,32,660 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 66,32,660 . The biggest common factor number is the GCF number.
So the greatest common factor 66,32,660 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 64/66, 93/32, 20/660

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 64/66, 93/32, 20/660?

Answer: LCM of Numerators as per given numbers 64/66, 93/32, 20/660 is

LCM of Numerators i.e. for 64,93,20 is 29760

GCF of denominators i.e. for 66,32,660 is 2.

Thus, LCM of Fractions is 14880.Finally, LCM of Fractions for 64/66, 93/32, 20/660 is 14880.