Least Common Multiple of 32/590, 192/308, 924/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/590, 192/308, 924/494 quickly i.e. 7392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/590, 192/308, 924/494 is 7392.

LCM(32/590, 192/308, 924/494) = 7392

LCM of 32/590, 192/308, 924/494

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 32/590,192/308,924/494

Given numbers are 32/590,192/308,924/494

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 32,192,924

Least Common Multiple of Numerators i.e. LCM of 32,192,924 is 14784.

GCF of Denominators means GCF of 590,308,494 as per the given fractions.

GCF of 590,308,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,192,924

LCM of Fractions 32/590,192/308,924/494 is 7392

2 32, 192, 924
2 16, 96, 462
2 8, 48, 231
2 4, 24, 231
2 2, 12, 231
3 1, 6, 231
1, 2, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 2 x 77 = 14784

Least Common Multiple of 32,192,924 with GCF Formula

Least Common Multiple of 32,192,924 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 32,192,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,192,924) = 4

common factors(in case of two or more numbers have common factors) = 96

GCF(32,192,924) x common factors =4 x 96 = 384

LCM(32,192,924) = ( 32 × 192 × 924 ) / 384

LCM(32,192,924) = 5677056 / 384

LCM(32,192,924) = 14784


Lets's calculate GCF of 590,308,494

2 590, 308, 494
295, 154, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14784/2

Therefore the LCM of Fractions 32/590,192/308,924/494 is 7392

Greatest Common Factor of 590,308,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,308,494 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 590,308,494 . The biggest common factor number is the GCF number.
So the greatest common factor 590,308,494 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 32/590, 192/308, 924/494

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 32/590, 192/308, 924/494?

Answer: LCM of Numerators as per given numbers 32/590, 192/308, 924/494 is

LCM of Numerators i.e. for 32,192,924 is 14784

GCF of denominators i.e. for 590,308,494 is 2.

Thus, LCM of Fractions is 7392.Finally, LCM of Fractions for 32/590, 192/308, 924/494 is 7392.