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LCM of 434 and 439

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


It is easy to find the LCM of 434 and 439 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 190526 as output. Here you can check the answer for Find the LCM of 434 and 439.

 

LCM of:
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What is LCM of 434 and 439

Given Numbers are 434, 439

We can find the LCM of 434, 439 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 434 and 439

Multiples of 434 =434,868,1302,1736,2170,2604,3038,3472,3906,4340,4774,5208,5642,6076,6510,6944,7378,

Multiples of 439 =439,878,1317,1756,2195,2634,3073,3512,3951,4390,4829,5268,5707,6146,6585,7024,7463,

Now, get the least common multiple of 434, 439 which is 190526

So, the LCM of 434, 439 is 190526.

Least Common Multiple (LCM) of 434 and 439 with the help of Prime Factorisation

One method for determining the LCM of 434 and 439 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 434's prime factorization:


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31.

434 = 21×71×311

And this is 439's prime factorization:


439 439
1

Prime factors of 439 are 439.

439 = 4391

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2, 7,31,439

.

21×71×311×4391 = 190526

This shows that the LCM of 434 and 439 is 190526.

How to Calculate the LCM of 434 and 439 Using Common Multiples

The first step in determining the Least Common Multiple of 434 and 439 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 434 and 439:

Lets look at the first ten multiples of these numbers, 434 and 439:

434,868,1302,1736,2170,2604,3038,3472,3906,7378 are the first ten multiples of 434.

439,878,1317,1756,2195,2634,3073,3512,3951,7463 are the first ten multiples of 439.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 434 and 439, for example, are 5208, 7378, and 7024. 190526 is the least common multiple since it is the smallest.

434 and 439 have an LCM of 190526.

Least Common Multiple of 434 and 439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 434 and 439, than apply into the LCM equation.

GCF(434,439) = 1
LCM(434,439) = ( 434 × 439) / 1
LCM(434,439) = 190526 / 1
LCM(434,439) = 190526

Frequently Asked Questions on LCM of 434 and 439

1. What is the LCM of 434 and 439?

The LCM of 434 and 439 is 190526.

2. How to find the lowest common multiple of 434 and 439?

To find the lowest common multiple of 434 and 439, we have to get the multip;es of both numbers and identify the least common multiple in them which is 190526.

3. What are the Factors of 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

4. What are the Factors of 439?

Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.

5. How to Find the LCM of 434 and 439?

Answer:

Least Common Multiple of 434 and 439 = 190526

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

Step 2: Find the prime factorization of 439

439 = 439

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 190526 = 2 x 7 x 31 x 439

Step 4: Therefore, the least common multiple of 434 and 439 is 190526.