Least Common Multiple of 66/608, 8646/9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/608, 8646/9600 quickly i.e. 8646/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/608, 8646/9600 is 8646/32.

LCM(66/608, 8646/9600) = 8646/32

LCM of 66/608, 8646/9600

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 66/608,8646/9600

Given numbers are 66/608,8646/9600

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 66,8646

Least Common Multiple of Numerators i.e. LCM of 66,8646 is 8646.

GCF of Denominators means GCF of 608,9600 as per the given fractions.

GCF of 608,9600 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,8646

LCM of Fractions 66/608,8646/9600 is 8646/32

2 66, 8646
3 33, 4323
11 11, 1441
1, 131

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 131 = 8646

Least Common Multiple of 66,8646 with GCF Formula

Least Common Multiple of 66,8646 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 66,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,8646) = 66

common factors(in case of two or more numbers have common factors) = 1

GCF(66,8646) x common factors =66 x 1 = 66

LCM(66,8646) = ( 66 × 8646 ) / 66

LCM(66,8646) = 570636 / 66

LCM(66,8646) = 8646


Lets's calculate GCF of 608,9600

2 608, 9600
2 304, 4800
2 152, 2400
2 76, 1200
2 38, 600
19, 300

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8646/32

Therefore the LCM of Fractions 66/608,8646/9600 is 8646/32

Greatest Common Factor of 608,9600 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,9600 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Greatest Common Factor

We found the factors 608,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 608,9600 is 32.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/608, 8646/9600

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 66/608, 8646/9600?

Answer: LCM of Numerators as per given numbers 66/608, 8646/9600 is

LCM of Numerators i.e. for 66,8646 is 8646

GCF of denominators i.e. for 608,9600 is 32.

Thus, LCM of Fractions is 8646/32.Finally, LCM of Fractions for 66/608, 8646/9600 is 8646/32.