Least Common Multiple of 5632/322, 9472/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5632/322, 9472/416 quickly i.e. 104192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5632/322, 9472/416 is 104192.

LCM(5632/322, 9472/416) = 104192

LCM of 5632/322, 9472/416

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 5632/322,9472/416

Given numbers are 5632/322,9472/416

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 5632,9472

Least Common Multiple of Numerators i.e. LCM of 5632,9472 is 208384.

GCF of Denominators means GCF of 322,416 as per the given fractions.

GCF of 322,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5632,9472

LCM of Fractions 5632/322,9472/416 is 104192

2 5632, 9472
2 2816, 4736
2 1408, 2368
2 704, 1184
2 352, 592
2 176, 296
2 88, 148
2 44, 74
22, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 22 x 37 = 208384

Least Common Multiple of 5632,9472 with GCF Formula

Least Common Multiple of 5632,9472 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 5632,9472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5632,9472) = 256

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

GCF(5632,9472) x common factors =256 x 1 = 256

LCM(5632,9472) = ( 5632 × 9472 ) / 256

LCM(5632,9472) = 53346304 / 256

LCM(5632,9472) = 208384


Lets's calculate GCF of 322,416

2 322, 416
161, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208384/2

Therefore the LCM of Fractions 5632/322,9472/416 is 104192

Greatest Common Factor of 322,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,416 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 322,416 . The biggest common factor number is the GCF number.
So the greatest common factor 322,416 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5632/322, 9472/416

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 5632/322, 9472/416?

Answer: LCM of Numerators as per given numbers 5632/322, 9472/416 is

LCM of Numerators i.e. for 5632,9472 is 208384

GCF of denominators i.e. for 322,416 is 2.

Thus, LCM of Fractions is 104192.Finally, LCM of Fractions for 5632/322, 9472/416 is 104192.