Given numbers are 460,474,808,496,812

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

The LCM of 460,474,808,496,812 is 277169395440.

Find LCM of 460,474,808,496,812 with Prime Factorization

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

2 x 2 x 2 x 115 x 237 x 101 x 62 x 203 = 277169395440

Therefore, the lowest common multiple of 460,474,808,496,812 is 277169395440.

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.

460 x 474 x 808 x 496 x 812 = 70955365232640

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.

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

808 : 1, 2, 4, 8, 101, 202, 404, 808

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,474,808,496,812, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

474:2x 3x 79

808:2x 2x 2x 101

496:2x 2x 2x 2x 31

812:2x 2x 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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 70955365232640/(2x128)

LCM = 70955365232640/256

LCM = 277169395440

Thus, we can understand that the LCM of 460,474,808,496,812 is 277169395440.

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

• LCM of 511, 272, 975, 930, 449
• LCM of 204, 835, 369, 549, 389
• LCM of 766, 573, 757, 396, 604
• LCM of 438, 940, 593, 567, 362
• LCM of 171, 247, 732, 380, 982

1. What is the LCM of 460, 474, 808, 496, 812?

Answer: LCM of 460, 474, 808, 496, 812 is 277169395440.

2. How to calculate the LCM of 460, 474, 808, 496, 812?

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 460, 474, 808, 496, 812.

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}.