Given numbers are 434,338,990,824,598

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

The LCM of 434,338,990,824,598 is 344038214520.

Find LCM of 434,338,990,824,598 with Prime Factorization

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

2 x 13 x 217 x 13 x 495 x 412 x 23 = 344038214520

Therefore, the lowest common multiple of 434,338,990,824,598 is 344038214520.

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.

434 x 338 x 990 x 824 x 598 = 71559948620160

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.

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

338 : 1, 2, 13, 26, 169, 338

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

824 : 1, 2, 4, 8, 103, 206, 412, 824

598 : 1, 2, 13, 23, 26, 46, 299, 598

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,338,990,824,598, is 2.

Now, the common factors can be found like this.

434:2x 7x 31

338:2x 13x 13

990:2x 3x 3x 5x 11

824:2x 2x 2x 103

598:2x 13x 23

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 13 = 104

Therefore, the value for common factors is 104.

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 = 71559948620160/(2x104)

LCM = 71559948620160/208

LCM = 344038214520

Thus, we can understand that the LCM of 434,338,990,824,598 is 344038214520.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 373, 475, 295, 663, 925
• LCM of 532, 668, 604, 349, 123
• LCM of 407, 114, 353, 213, 733
• LCM of 840, 876, 292, 730, 818
• LCM of 240, 848, 947, 390, 195

1. What is the LCM of 434, 338, 990, 824, 598?

Answer: LCM of 434, 338, 990, 824, 598 is 344038214520.

2. How to calculate the LCM of 434, 338, 990, 824, 598?

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 434, 338, 990, 824, 598.

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}.