Given numbers are 489,770,312,454

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

The LCM of 489,770,312,454 is 4444560120.

Find LCM of 489,770,312,454 with Prime Factorization

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

2 x 3 x 163 x 385 x 52 x 227 = 4444560120

Therefore, the lowest common multiple of 489,770,312,454 is 4444560120.

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 770 x 312 x 454 = 53334721440

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,770,312,454, is 1.

Now, the common factors can be found like this.

489:3x 163

770:2x 5x 7x 11

312:2x 2x 2x 3x 13

454:2x 227

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 3 = 12

Therefore, the value for common factors is 12.

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 = 53334721440/(1x12)

LCM = 53334721440/12

LCM = 4444560120

Thus, we can understand that the LCM of 489,770,312,454 is 4444560120.

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

• LCM of 228, 391, 748, 818
• LCM of 570, 194, 162, 216
• LCM of 768, 992, 180, 347
• LCM of 261, 177, 336, 280
• LCM of 937, 687, 364, 650

1. What is the LCM of 489, 770, 312, 454?

Answer: LCM of 489, 770, 312, 454 is 4444560120.

2. How to calculate the LCM of 489, 770, 312, 454?

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, 770, 312, 454.

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}.