Given numbers are 489,319,431,728,737

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

The LCM of 489,319,431,728,737 is 3279313933896.

Find LCM of 489,319,431,728,737 with Prime Factorization

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

11 x 489 x 29 x 431 x 728 x 67 = 3279313933896

Therefore, the lowest common multiple of 489,319,431,728,737 is 3279313933896.

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.

489 x 319 x 431 x 728 x 737 = 36072453272856

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.

489 : 1, 3, 163, 489

319 : 1, 11, 29, 319

431 : 1, 431

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,319,431,728,737, is 1.

Now, the common factors can be found like this.

489:3x 163

319:11x 29

431:431

728:2x 2x 2x 7x 13

737:11x 67

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

11 = 11

Therefore, the value for common factors is 11.

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 = 36072453272856/(1x11)

LCM = 36072453272856/11

LCM = 3279313933896

Thus, we can understand that the LCM of 489,319,431,728,737 is 3279313933896.

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

• LCM of 918, 378, 979, 827, 694
• LCM of 755, 236, 137, 539, 336
• LCM of 786, 361, 444, 211, 352
• LCM of 891, 770, 995, 345, 921
• LCM of 267, 776, 886, 934, 193

1. What is the LCM of 489, 319, 431, 728, 737?

Answer: LCM of 489, 319, 431, 728, 737 is 3279313933896.

2. How to calculate the LCM of 489, 319, 431, 728, 737?

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 489, 319, 431, 728, 737.

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}.