Given numbers are 460,553,802,614

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

The LCM of 460,553,802,614 is 31315958660.

Find LCM of 460,553,802,614 with Prime Factorization

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

2 x 230 x 553 x 401 x 307 = 31315958660

Therefore, the lowest common multiple of 460,553,802,614 is 31315958660.

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 553 x 802 x 614 = 125263834640

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

553 : 1, 7, 79, 553

802 : 1, 2, 401, 802

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,553,802,614, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

553:7x 79

802:2x 401

614:2x 307

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 = 125263834640/(1x4)

LCM = 125263834640/4

LCM = 31315958660

Thus, we can understand that the LCM of 460,553,802,614 is 31315958660.

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

• LCM of 126, 484, 170, 451
• LCM of 452, 105, 841, 718
• LCM of 503, 824, 399, 884
• LCM of 915, 244, 336, 815
• LCM of 400, 359, 223, 324

1. What is the LCM of 460, 553, 802, 614?

Answer: LCM of 460, 553, 802, 614 is 31315958660.

2. How to calculate the LCM of 460, 553, 802, 614?

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, 553, 802, 614.

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}.