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Least Common Multiple of 1008/576, 4704/1024

Know Least Common Multiple of fractions 1008/576, 4704/1024 quickly i.e. 14112/64 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1008/576, 4704/1024 is 14112/64.

LCM(1008/576, 4704/1024) = 14112/64

LCM of 1008/576, 4704/1024

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 1008/576,4704/1024

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 1008,4704

Least Common Multiple of Numerators i.e. LCM of 1008,4704 is 14112.

GCF of Denominators means GCF of 576,1024 as per the given fractions.

GCF of 576,1024 is 64 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1008,4704

Least Common Multiple (LCM) of 1008,4704 By Common Division

2 1008, 4704
2 504, 2352
2 252, 1176
2 126, 588
3 63, 294
7 21, 98
3, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 3 x 14 = 14112

Least Common Multiple of 1008,4704 with GCF Formula

Least Common Multiple of 1008,4704 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 1008,4704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1008,4704) = 336

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

GCF(1008,4704) x common factors =336 x 1 = 336

LCM(1008,4704) = ( 1008 × 4704 ) / 336

LCM(1008,4704) = 4741632 / 336

LCM(1008,4704) = 14112


Lets's calculate GCF of 576,1024

Greatest Common Factor (GCF) of 576,1024 By Common Division

2 576, 1024
2 288, 512
2 144, 256
2 72, 128
2 36, 64
2 18, 32
9, 16

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14112/64

Therefore the LCM of Fractions 1008/576,4704/1024 is 14112/64

Greatest Common Factor of 576,1024 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,1024 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024

Greatest Common Factor

We found the factors 576,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 576,1024 is 64.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1008/576, 4704/1024

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 1008/576, 4704/1024?

Answer: LCM of Numerators as per given numbers 1008/576, 4704/1024 is

LCM of Numerators i.e. for 1008,4704 is 14112

GCF of denominators i.e. for 576,1024 is 64.

Thus, LCM of Fractions is 14112/64.Finally, LCM of Fractions for 1008/576, 4704/1024 is 14112/64.