Least Common Multiple of 14/434, 480/403, 399/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/434, 480/403, 399/713 quickly i.e. 63840/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/434, 480/403, 399/713 is 63840/31.

LCM(14/434, 480/403, 399/713) = 63840/31

LCM of 14/434, 480/403, 399/713

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 14/434,480/403,399/713

Given numbers are 14/434,480/403,399/713

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 14,480,399

Least Common Multiple of Numerators i.e. LCM of 14,480,399 is 63840.

GCF of Denominators means GCF of 434,403,713 as per the given fractions.

GCF of 434,403,713 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,480,399

LCM of Fractions 14/434,480/403,399/713 is 63840/31

2 14, 480, 399
3 7, 240, 399
7 7, 80, 133
1, 80, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 80 x 19 = 63840

Least Common Multiple of 14,480,399 with GCF Formula

Least Common Multiple of 14,480,399 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 14,480,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,480,399) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(14,480,399) x common factors =1 x 42 = 42

LCM(14,480,399) = ( 14 × 480 × 399 ) / 42

LCM(14,480,399) = 2681280 / 42

LCM(14,480,399) = 63840


Lets's calculate GCF of 434,403,713

31 434, 403, 713
14, 13, 23

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63840/31

Therefore the LCM of Fractions 14/434,480/403,399/713 is 63840/31

Greatest Common Factor of 434,403,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,403,713 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 434,403,713 . The biggest common factor number is the GCF number.
So the greatest common factor 434,403,713 is 31.


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 14/434, 480/403, 399/713

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 14/434, 480/403, 399/713?

Answer: LCM of Numerators as per given numbers 14/434, 480/403, 399/713 is

LCM of Numerators i.e. for 14,480,399 is 63840

GCF of denominators i.e. for 434,403,713 is 31.

Thus, LCM of Fractions is 63840/31.Finally, LCM of Fractions for 14/434, 480/403, 399/713 is 63840/31.