Least Common Multiple of 6005/456, 2469/9923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6005/456, 2469/9923 quickly i.e. 14826345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6005/456, 2469/9923 is 14826345.

LCM(6005/456, 2469/9923) = 14826345

LCM of 6005/456, 2469/9923

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 6005/456,2469/9923

Given numbers are 6005/456,2469/9923

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 6005,2469

Least Common Multiple of Numerators i.e. LCM of 6005,2469 is 14826345.

GCF of Denominators means GCF of 456,9923 as per the given fractions.

GCF of 456,9923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6005,2469

LCM of Fractions 6005/456,2469/9923 is 14826345

Given numbers has no common factors except 1. So, there LCM is their product i.e 14826345

Least Common Multiple of 6005,2469 with GCF Formula

Least Common Multiple of 6005,2469 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 6005,2469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6005,2469) = 1

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

GCF(6005,2469) x common factors =1 x 1 = 1

LCM(6005,2469) = ( 6005 × 2469 ) / 1

LCM(6005,2469) = 14826345 / 1

LCM(6005,2469) = 14826345


Lets's calculate GCF of 456,9923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14826345/1

Therefore the LCM of Fractions 6005/456,2469/9923 is 14826345

Greatest Common Factor of 456,9923 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,9923 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 9923

List of positive integer factors of 9923 that divides 9923 without a remainder.

1,9923

Greatest Common Factor

We found the factors 456,9923 . The biggest common factor number is the GCF number.
So the greatest common factor 456,9923 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 6005/456, 2469/9923

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 6005/456, 2469/9923?

Answer: LCM of Numerators as per given numbers 6005/456, 2469/9923 is

LCM of Numerators i.e. for 6005,2469 is 14826345

GCF of denominators i.e. for 456,9923 is 1.

Thus, LCM of Fractions is 14826345.Finally, LCM of Fractions for 6005/456, 2469/9923 is 14826345.