Given numbers are 460,440,824,884

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

The LCM of 460,440,824,884 is 230361560.

Find LCM of 460,440,824,884 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 11 x 103 x 221 = 230361560

Therefore, the lowest common multiple of 460,440,824,884 is 230361560.

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 440 x 824 x 884 = 147431398400

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

824 : 1, 2, 4, 8, 103, 206, 412, 824

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,440,824,884, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

440:2x 2x 2x 5x 11

824:2x 2x 2x 103

884:2x 2x 13x 17

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 5 = 160

Therefore, the value for common factors is 160.

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 = 147431398400/(4x160)

LCM = 147431398400/640

LCM = 230361560

Thus, we can understand that the LCM of 460,440,824,884 is 230361560.

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

• LCM of 723, 269, 619, 710
• LCM of 945, 778, 611, 255
• LCM of 405, 574, 900, 951
• LCM of 510, 410, 440, 932
• LCM of 964, 274, 875, 562

1. What is the LCM of 460, 440, 824, 884?

Answer: LCM of 460, 440, 824, 884 is 230361560.

2. How to calculate the LCM of 460, 440, 824, 884?

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, 440, 824, 884.

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}.