Given numbers are 489,368,780,420,898

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

The LCM of 489,368,780,420,898 is 36763293840.

Find LCM of 489,368,780,420,898 with Prime Factorization

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

2 x 2 x 3 x 5 x 163 x 92 x 13 x 7 x 449 = 36763293840

Therefore, the lowest common multiple of 489,368,780,420,898 is 36763293840.

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 368 x 780 x 420 x 898 = 52939143129600

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

898 : 1, 2, 449, 898

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,368,780,420,898, is 1.

Now, the common factors can be found like this.

489:3x 163

368:2x 2x 2x 2x 23

780:2x 2x 3x 5x 13

420:2x 2x 3x 5x 7

898:2x 449

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 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 52939143129600/(1x1440)

LCM = 52939143129600/1440

LCM = 36763293840

Thus, we can understand that the LCM of 489,368,780,420,898 is 36763293840.

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

• LCM of 830, 836, 121, 369, 886
• LCM of 193, 116, 575, 133, 376
• LCM of 912, 469, 564, 497, 713
• LCM of 387, 266, 952, 446, 851
• LCM of 486, 225, 429, 228, 250

1. What is the LCM of 489, 368, 780, 420, 898?

Answer: LCM of 489, 368, 780, 420, 898 is 36763293840.

2. How to calculate the LCM of 489, 368, 780, 420, 898?

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, 368, 780, 420, 898.

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}.