Given numbers are 460,362,449,718

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

The LCM of 460,362,449,718 is 13420762660.

Find LCM of 460,362,449,718 with Prime Factorization

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

2 x 230 x 181 x 449 x 359 = 13420762660

Therefore, the lowest common multiple of 460,362,449,718 is 13420762660.

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 362 x 449 x 718 = 53683050640

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

362 : 1, 2, 181, 362

449 : 1, 449

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,362,449,718, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

362:2x 181

449:449

718:2x 359

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53683050640/(1x4)

LCM = 53683050640/4

LCM = 13420762660

Thus, we can understand that the LCM of 460,362,449,718 is 13420762660.

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

• LCM of 236, 976, 983, 211
• LCM of 835, 952, 830, 269
• LCM of 631, 798, 111, 670
• LCM of 579, 758, 932, 919
• LCM of 388, 397, 836, 892

1. What is the LCM of 460, 362, 449, 718?

Answer: LCM of 460, 362, 449, 718 is 13420762660.

2. How to calculate the LCM of 460, 362, 449, 718?

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, 362, 449, 718.

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}.