Least Common Multiple of 498/44, 728/8899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/44, 728/8899 quickly i.e. 181272/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/44, 728/8899 is 181272/11.

LCM(498/44, 728/8899) = 181272/11

LCM of 498/44, 728/8899

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 498/44,728/8899

Given numbers are 498/44,728/8899

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 498,728

Least Common Multiple of Numerators i.e. LCM of 498,728 is 181272.

GCF of Denominators means GCF of 44,8899 as per the given fractions.

GCF of 44,8899 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,728

LCM of Fractions 498/44,728/8899 is 181272/11

2 498, 728
249, 364

∴ So the LCM of the given numbers is 2 x 249 x 364 = 181272

Least Common Multiple of 498,728 with GCF Formula

Least Common Multiple of 498,728 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 498,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,728) = 2

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

GCF(498,728) x common factors =2 x 1 = 2

LCM(498,728) = ( 498 × 728 ) / 2

LCM(498,728) = 362544 / 2

LCM(498,728) = 181272


Lets's calculate GCF of 44,8899

11 44, 8899
4, 809

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181272/11

Therefore the LCM of Fractions 498/44,728/8899 is 181272/11

Greatest Common Factor of 44,8899 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,8899 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 8899

List of positive integer factors of 8899 that divides 8899 without a remainder.

1,11,809,8899

Greatest Common Factor

We found the factors 44,8899 . The biggest common factor number is the GCF number.
So the greatest common factor 44,8899 is 11.


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 498/44, 728/8899

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 498/44, 728/8899?

Answer: LCM of Numerators as per given numbers 498/44, 728/8899 is

LCM of Numerators i.e. for 498,728 is 181272

GCF of denominators i.e. for 44,8899 is 11.

Thus, LCM of Fractions is 181272/11.Finally, LCM of Fractions for 498/44, 728/8899 is 181272/11.