Given numbers are 480,460,841,435,609

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

The LCM of 480,460,841,435,609 is 64992480.

Find LCM of 480,460,841,435,609 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 8 x 23 x 1 x 29 x 7 = 64992480

Therefore, the lowest common multiple of 480,460,841,435,609 is 64992480.

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.

480 x 460 x 841 x 435 x 609 = 49192808112000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

841 : 1, 29, 841

435 : 1, 3, 5, 15, 29, 87, 145, 435

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,460,841,435,609, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

460:2x 2x 5x 23

841:29x 29

435:3x 5x 29

609:3x 7x 29

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 3x 3x 5x 5x 29x 29 = 756900

Therefore, the value for common factors is 756900.

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 = 49192808112000/(1x756900)

LCM = 49192808112000/756900

LCM = 64992480

Thus, we can understand that the LCM of 480,460,841,435,609 is 64992480.

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

• LCM of 392, 664, 719, 883, 329
• LCM of 429, 624, 464, 710, 488
• LCM of 677, 439, 814, 629, 928
• LCM of 468, 317, 595, 790, 178
• LCM of 488, 161, 733, 396, 516

1. What is the LCM of 480, 460, 841, 435, 609?

Answer: LCM of 480, 460, 841, 435, 609 is 64992480.

2. How to calculate the LCM of 480, 460, 841, 435, 609?

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 480, 460, 841, 435, 609.

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}.