Given numbers are 464,585,497,556,304

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

The LCM of 464,585,497,556,304 is 356285900880.

Find LCM of 464,585,497,556,304 with Prime Factorization

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

2 x 2 x 2 x 2 x 29 x 585 x 497 x 139 x 19 = 356285900880

Therefore, the lowest common multiple of 464,585,497,556,304 is 356285900880.

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.

464 x 585 x 497 x 556 x 304 = 22802297656320

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

497 : 1, 7, 71, 497

556 : 1, 2, 4, 139, 278, 556

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,585,497,556,304, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

585:3x 3x 5x 13

497:7x 71

556:2x 2x 139

304:2x 2x 2x 2x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 22802297656320/(1x64)

LCM = 22802297656320/64

LCM = 356285900880

Thus, we can understand that the LCM of 464,585,497,556,304 is 356285900880.

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

• LCM of 981, 766, 491, 958, 508
• LCM of 394, 585, 585, 989, 533
• LCM of 631, 960, 587, 867, 450
• LCM of 253, 789, 907, 853, 788
• LCM of 566, 732, 156, 922, 761

1. What is the LCM of 464, 585, 497, 556, 304?

Answer: LCM of 464, 585, 497, 556, 304 is 356285900880.

2. How to calculate the LCM of 464, 585, 497, 556, 304?

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 464, 585, 497, 556, 304.

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}.