Least Common Multiple of 498/138, 496/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/138, 496/322 quickly i.e. 123504/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/138, 496/322 is 123504/46.

LCM(498/138, 496/322) = 123504/46

LCM of 498/138, 496/322

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 498/138,496/322

Given numbers are 498/138,496/322

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 498,496

Least Common Multiple of Numerators i.e. LCM of 498,496 is 123504.

GCF of Denominators means GCF of 138,322 as per the given fractions.

GCF of 138,322 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,496

LCM of Fractions 498/138,496/322 is 123504/46

2 498, 496
249, 248

∴ So the LCM of the given numbers is 2 x 249 x 248 = 123504

Least Common Multiple of 498,496 with GCF Formula

Least Common Multiple of 498,496 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 498,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,496) = 2

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

GCF(498,496) x common factors =2 x 1 = 2

LCM(498,496) = ( 498 × 496 ) / 2

LCM(498,496) = 247008 / 2

LCM(498,496) = 123504


Lets's calculate GCF of 138,322

2 138, 322
23 69, 161
3, 7

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123504/46

Therefore the LCM of Fractions 498/138,496/322 is 123504/46

Greatest Common Factor of 138,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,322 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 322

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

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

Greatest Common Factor

We found the factors 138,322 . The biggest common factor number is the GCF number.
So the greatest common factor 138,322 is 46.


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 498/138, 496/322

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 498/138, 496/322?

Answer: LCM of Numerators as per given numbers 498/138, 496/322 is

LCM of Numerators i.e. for 498,496 is 123504

GCF of denominators i.e. for 138,322 is 46.

Thus, LCM of Fractions is 123504/46.Finally, LCM of Fractions for 498/138, 496/322 is 123504/46.