Least Common Multiple of 498/32, 418/23, 584/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/32, 418/23, 584/253 quickly i.e. 30391944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/32, 418/23, 584/253 is 30391944.

LCM(498/32, 418/23, 584/253) = 30391944

LCM of 498/32, 418/23, 584/253

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 498/32,418/23,584/253

Given numbers are 498/32,418/23,584/253

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 498,418,584

Least Common Multiple of Numerators i.e. LCM of 498,418,584 is 30391944.

GCF of Denominators means GCF of 32,23,253 as per the given fractions.

GCF of 32,23,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,418,584

LCM of Fractions 498/32,418/23,584/253 is 30391944

2 498, 418, 584
249, 209, 292

∴ So the LCM of the given numbers is 2 x 249 x 209 x 292 = 30391944

Least Common Multiple of 498,418,584 with GCF Formula

Least Common Multiple of 498,418,584 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 498,418,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,418,584) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(498,418,584) x common factors =2 x 2 = 4

LCM(498,418,584) = ( 498 × 418 × 584 ) / 4

LCM(498,418,584) = 121567776 / 4

LCM(498,418,584) = 30391944


Lets's calculate GCF of 32,23,253

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30391944/1

Therefore the LCM of Fractions 498/32,418/23,584/253 is 30391944

Greatest Common Factor of 32,23,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,23,253 By Matching Biggest Common Factor Method

Factors of 32

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

1,2,4,8,16,32

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 32,23,253 . The biggest common factor number is the GCF number.
So the greatest common factor 32,23,253 is 1.


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 498/32, 418/23, 584/253

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 498/32, 418/23, 584/253?

Answer: LCM of Numerators as per given numbers 498/32, 418/23, 584/253 is

LCM of Numerators i.e. for 498,418,584 is 30391944

GCF of denominators i.e. for 32,23,253 is 1.

Thus, LCM of Fractions is 30391944.Finally, LCM of Fractions for 498/32, 418/23, 584/253 is 30391944.