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LCM of 259, 396, 249, 616, 434

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 259, 396, 249, 616, 434 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 259, 396, 249, 616, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 259,396,249,616,434

Given numbers are 259,396,249,616,434

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 259,396,249,616,434 is 527794344.

Find LCM of 259,396,249,616,434 with Prime Factorization


2 259, 396, 249, 616, 434
2 259, 198, 249, 308, 217
3 259, 99, 249, 154, 217
7 259, 33, 83, 154, 217
11 37, 33, 83, 22, 31
37, 3, 83, 2, 31

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 7 x 11 x 37 x 3 x 83 x 2 x 31 = 527794344

Therefore, the lowest common multiple of 259,396,249,616,434 is 527794344.

LCM Formula to Find Lowest Common Multiple of 259,396,249,616,434

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

259 x 396 x 249 x 616 x 434 = 6827547633984

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

259 : 1, 7, 37, 259

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

249 : 1, 3, 83, 249

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,396,249,616,434, is 1.

Now, the common factors can be found like this.

259:7x 37

396:2x 2x 3x 3x 11

249:3x 83

616:2x 2x 2x 7x 11

434:2x 7x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 7x 7x 11 = 12936

Therefore, the value for common factors is 12936.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6827547633984/(1x12936)

LCM = 6827547633984/12936

LCM = 527794344

Thus, we can understand that the LCM of 259,396,249,616,434 is 527794344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 259, 396, 249, 616, 434

1. What is the LCM of 259, 396, 249, 616, 434?

Answer: LCM of 259, 396, 249, 616, 434 is 527794344.

2. How to calculate the LCM of 259, 396, 249, 616, 434?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 259, 396, 249, 616, 434.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.