Least Common Multiple of 3462/423, 6013/4889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3462/423, 6013/4889 quickly i.e. 20817006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3462/423, 6013/4889 is 20817006.

LCM(3462/423, 6013/4889) = 20817006

LCM of 3462/423, 6013/4889

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 3462/423,6013/4889

Given numbers are 3462/423,6013/4889

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 3462,6013

Least Common Multiple of Numerators i.e. LCM of 3462,6013 is 20817006.

GCF of Denominators means GCF of 423,4889 as per the given fractions.

GCF of 423,4889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3462,6013

LCM of Fractions 3462/423,6013/4889 is 20817006

Given numbers has no common factors except 1. So, there LCM is their product i.e 20817006

Least Common Multiple of 3462,6013 with GCF Formula

Least Common Multiple of 3462,6013 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 3462,6013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3462,6013) = 1

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

GCF(3462,6013) x common factors =1 x 1 = 1

LCM(3462,6013) = ( 3462 × 6013 ) / 1

LCM(3462,6013) = 20817006 / 1

LCM(3462,6013) = 20817006


Lets's calculate GCF of 423,4889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20817006/1

Therefore the LCM of Fractions 3462/423,6013/4889 is 20817006

Greatest Common Factor of 423,4889 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,4889 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 4889

List of positive integer factors of 4889 that divides 4889 without a remainder.

1,4889

Greatest Common Factor

We found the factors 423,4889 . The biggest common factor number is the GCF number.
So the greatest common factor 423,4889 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 3462/423, 6013/4889

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 3462/423, 6013/4889?

Answer: LCM of Numerators as per given numbers 3462/423, 6013/4889 is

LCM of Numerators i.e. for 3462,6013 is 20817006

GCF of denominators i.e. for 423,4889 is 1.

Thus, LCM of Fractions is 20817006.Finally, LCM of Fractions for 3462/423, 6013/4889 is 20817006.