Least Common Multiple of 16/401, 234/808, 429/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/401, 234/808, 429/402 quickly i.e. 20592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/401, 234/808, 429/402 is 20592.

LCM(16/401, 234/808, 429/402) = 20592

LCM of 16/401, 234/808, 429/402

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 16/401,234/808,429/402

Given numbers are 16/401,234/808,429/402

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 16,234,429

Least Common Multiple of Numerators i.e. LCM of 16,234,429 is 20592.

GCF of Denominators means GCF of 401,808,402 as per the given fractions.

GCF of 401,808,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,234,429

LCM of Fractions 16/401,234/808,429/402 is 20592

2 16, 234, 429
3 8, 117, 429
13 8, 39, 143
8, 3, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 3 x 11 = 20592

Least Common Multiple of 16,234,429 with GCF Formula

Least Common Multiple of 16,234,429 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 16,234,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,234,429) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(16,234,429) x common factors =1 x 78 = 78

LCM(16,234,429) = ( 16 × 234 × 429 ) / 78

LCM(16,234,429) = 1606176 / 78

LCM(16,234,429) = 20592


Lets's calculate GCF of 401,808,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20592/1

Therefore the LCM of Fractions 16/401,234/808,429/402 is 20592

Greatest Common Factor of 401,808,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,808,402 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 401,808,402 . The biggest common factor number is the GCF number.
So the greatest common factor 401,808,402 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 16/401, 234/808, 429/402

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 16/401, 234/808, 429/402?

Answer: LCM of Numerators as per given numbers 16/401, 234/808, 429/402 is

LCM of Numerators i.e. for 16,234,429 is 20592

GCF of denominators i.e. for 401,808,402 is 1.

Thus, LCM of Fractions is 20592.Finally, LCM of Fractions for 16/401, 234/808, 429/402 is 20592.