Least Common Multiple of 182/398, 6024/9443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/398, 6024/9443 quickly i.e. 548184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/398, 6024/9443 is 548184.

LCM(182/398, 6024/9443) = 548184

LCM of 182/398, 6024/9443

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 182/398,6024/9443

Given numbers are 182/398,6024/9443

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 182,6024

Least Common Multiple of Numerators i.e. LCM of 182,6024 is 548184.

GCF of Denominators means GCF of 398,9443 as per the given fractions.

GCF of 398,9443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,6024

LCM of Fractions 182/398,6024/9443 is 548184

2 182, 6024
91, 3012

∴ So the LCM of the given numbers is 2 x 91 x 3012 = 548184

Least Common Multiple of 182,6024 with GCF Formula

Least Common Multiple of 182,6024 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 182,6024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,6024) = 2

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

GCF(182,6024) x common factors =2 x 1 = 2

LCM(182,6024) = ( 182 × 6024 ) / 2

LCM(182,6024) = 1096368 / 2

LCM(182,6024) = 548184


Lets's calculate GCF of 398,9443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548184/1

Therefore the LCM of Fractions 182/398,6024/9443 is 548184

Greatest Common Factor of 398,9443 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,9443 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 9443

List of positive integer factors of 9443 that divides 9443 without a remainder.

1,7,19,71,133,497,1349,9443

Greatest Common Factor

We found the factors 398,9443 . The biggest common factor number is the GCF number.
So the greatest common factor 398,9443 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 182/398, 6024/9443

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 182/398, 6024/9443?

Answer: LCM of Numerators as per given numbers 182/398, 6024/9443 is

LCM of Numerators i.e. for 182,6024 is 548184

GCF of denominators i.e. for 398,9443 is 1.

Thus, LCM of Fractions is 548184.Finally, LCM of Fractions for 182/398, 6024/9443 is 548184.