Given numbers are 464,242,393,585,882

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

The LCM of 464,242,393,585,882 is 210827176560.

Find LCM of 464,242,393,585,882 with Prime Factorization

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

2 x 3 x 3 x 232 x 121 x 131 x 65 x 49 = 210827176560

Therefore, the lowest common multiple of 464,242,393,585,882 is 210827176560.

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 242 x 393 x 585 x 882 = 22769335068480

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

242 : 1, 2, 11, 22, 121, 242

393 : 1, 3, 131, 393

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,242,393,585,882, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

242:2x 11x 11

393:3x 131

585:3x 3x 5x 13

882:2x 3x 3x 7x 7

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 3 = 108

Therefore, the value for common factors is 108.

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 = 22769335068480/(1x108)

LCM = 22769335068480/108

LCM = 210827176560

Thus, we can understand that the LCM of 464,242,393,585,882 is 210827176560.

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

• LCM of 401, 693, 984, 539, 149
• LCM of 625, 154, 883, 121, 984
• LCM of 921, 747, 732, 200, 469
• LCM of 765, 605, 788, 429, 405
• LCM of 755, 543, 908, 649, 295

1. What is the LCM of 464, 242, 393, 585, 882?

Answer: LCM of 464, 242, 393, 585, 882 is 210827176560.

2. How to calculate the LCM of 464, 242, 393, 585, 882?

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, 242, 393, 585, 882.

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}.