Least Common Multiple of 14/828, 43/435, 294/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/828, 43/435, 294/447 quickly i.e. 4214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/828, 43/435, 294/447 is 4214.

LCM(14/828, 43/435, 294/447) = 4214

LCM of 14/828, 43/435, 294/447

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 14/828,43/435,294/447

Given numbers are 14/828,43/435,294/447

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 14,43,294

Least Common Multiple of Numerators i.e. LCM of 14,43,294 is 12642.

GCF of Denominators means GCF of 828,435,447 as per the given fractions.

GCF of 828,435,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,43,294

LCM of Fractions 14/828,43/435,294/447 is 4214

2 14, 43, 294
7 7, 43, 147
1, 43, 21

∴ So the LCM of the given numbers is 2 x 7 x 1 x 43 x 21 = 12642

Least Common Multiple of 14,43,294 with GCF Formula

Least Common Multiple of 14,43,294 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 14,43,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,43,294) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,43,294) x common factors =1 x 14 = 14

LCM(14,43,294) = ( 14 × 43 × 294 ) / 14

LCM(14,43,294) = 176988 / 14

LCM(14,43,294) = 12642


Lets's calculate GCF of 828,435,447

3 828, 435, 447
276, 145, 149

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12642/3

Therefore the LCM of Fractions 14/828,43/435,294/447 is 4214

Greatest Common Factor of 828,435,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,435,447 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 828,435,447 . The biggest common factor number is the GCF number.
So the greatest common factor 828,435,447 is 3.


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 14/828, 43/435, 294/447

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 14/828, 43/435, 294/447?

Answer: LCM of Numerators as per given numbers 14/828, 43/435, 294/447 is

LCM of Numerators i.e. for 14,43,294 is 12642

GCF of denominators i.e. for 828,435,447 is 3.

Thus, LCM of Fractions is 4214.Finally, LCM of Fractions for 14/828, 43/435, 294/447 is 4214.