Least Common Multiple of 3/462, 64/384, 14/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/462, 64/384, 14/206 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/462, 64/384, 14/206 is 672.

LCM(3/462, 64/384, 14/206) = 672

LCM of 3/462, 64/384, 14/206

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 3/462,64/384,14/206

Given numbers are 3/462,64/384,14/206

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 3,64,14

Least Common Multiple of Numerators i.e. LCM of 3,64,14 is 1344.

GCF of Denominators means GCF of 462,384,206 as per the given fractions.

GCF of 462,384,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,64,14

LCM of Fractions 3/462,64/384,14/206 is 672

2 3, 64, 14
3, 32, 7

∴ So the LCM of the given numbers is 2 x 3 x 32 x 7 = 1344

Least Common Multiple of 3,64,14 with GCF Formula

Least Common Multiple of 3,64,14 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 3,64,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,64,14) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(3,64,14) x common factors =1 x 2 = 2

LCM(3,64,14) = ( 3 × 64 × 14 ) / 2

LCM(3,64,14) = 2688 / 2

LCM(3,64,14) = 1344


Lets's calculate GCF of 462,384,206

2 462, 384, 206
231, 192, 103

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344/2

Therefore the LCM of Fractions 3/462,64/384,14/206 is 672

Greatest Common Factor of 462,384,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,384,206 By Matching Biggest Common Factor Method

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

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 462,384,206 . The biggest common factor number is the GCF number.
So the greatest common factor 462,384,206 is 2.


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 3/462, 64/384, 14/206

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 3/462, 64/384, 14/206?

Answer: LCM of Numerators as per given numbers 3/462, 64/384, 14/206 is

LCM of Numerators i.e. for 3,64,14 is 1344

GCF of denominators i.e. for 462,384,206 is 2.

Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 3/462, 64/384, 14/206 is 672.