Least Common Multiple of 2004/14, 1666/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2004/14, 1666/462 quickly i.e. 119238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2004/14, 1666/462 is 119238.

LCM(2004/14, 1666/462) = 119238

LCM of 2004/14, 1666/462

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 2004/14,1666/462

Given numbers are 2004/14,1666/462

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 2004,1666

Least Common Multiple of Numerators i.e. LCM of 2004,1666 is 1669332.

GCF of Denominators means GCF of 14,462 as per the given fractions.

GCF of 14,462 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2004,1666

LCM of Fractions 2004/14,1666/462 is 119238

2 2004, 1666
1002, 833

∴ So the LCM of the given numbers is 2 x 1002 x 833 = 1669332

Least Common Multiple of 2004,1666 with GCF Formula

Least Common Multiple of 2004,1666 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 2004,1666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2004,1666) = 2

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

GCF(2004,1666) x common factors =2 x 1 = 2

LCM(2004,1666) = ( 2004 × 1666 ) / 2

LCM(2004,1666) = 3338664 / 2

LCM(2004,1666) = 1669332


Lets's calculate GCF of 14,462

2 14, 462
7 7, 231
1, 33

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1669332/14

Therefore the LCM of Fractions 2004/14,1666/462 is 119238

Greatest Common Factor of 14,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,462 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 14,462 . The biggest common factor number is the GCF number.
So the greatest common factor 14,462 is 14.


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 2004/14, 1666/462

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 2004/14, 1666/462?

Answer: LCM of Numerators as per given numbers 2004/14, 1666/462 is

LCM of Numerators i.e. for 2004,1666 is 1669332

GCF of denominators i.e. for 14,462 is 14.

Thus, LCM of Fractions is 119238.Finally, LCM of Fractions for 2004/14, 1666/462 is 119238.