Given numbers are 489,495,704,402

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

The LCM of 489,495,704,402 is 345977280.

Find LCM of 489,495,704,402 with Prime Factorization

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

2 x 3 x 11 x 163 x 15 x 32 x 67 = 345977280

Therefore, the lowest common multiple of 489,495,704,402 is 345977280.

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 495 x 704 x 402 = 68503501440

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

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,495,704,402, is 1.

Now, the common factors can be found like this.

489:3x 163

495:3x 3x 5x 11

704:2x 2x 2x 2x 2x 2x 11

402:2x 3x 67

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 68503501440/(1x198)

LCM = 68503501440/198

LCM = 345977280

Thus, we can understand that the LCM of 489,495,704,402 is 345977280.

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

• LCM of 114, 352, 901, 305
• LCM of 648, 300, 341, 423
• LCM of 314, 573, 734, 515
• LCM of 664, 440, 909, 706
• LCM of 832, 648, 603, 748

1. What is the LCM of 489, 495, 704, 402?

Answer: LCM of 489, 495, 704, 402 is 345977280.

2. How to calculate the LCM of 489, 495, 704, 402?

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, 495, 704, 402.

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}.