Given numbers are 728,759,460,324

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

The LCM of 728,759,460,324 is 74594520.

Find LCM of 728,759,460,324 with Prime Factorization

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

2 x 2 x 3 x 23 x 182 x 11 x 5 x 27 = 74594520

Therefore, the lowest common multiple of 728,759,460,324 is 74594520.

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.

728 x 759 x 460 x 324 = 82352350080

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

759 : 1, 3, 11, 23, 33, 69, 253, 759

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,759,460,324, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

759:3x 11x 23

460:2x 2x 5x 23

324:2x 2x 3x 3x 3x 3

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 82352350080/(1x1104)

LCM = 82352350080/1104

LCM = 74594520

Thus, we can understand that the LCM of 728,759,460,324 is 74594520.

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

• LCM of 441, 418, 461, 123
• LCM of 575, 638, 696, 989
• LCM of 182, 546, 903, 291
• LCM of 864, 684, 386, 890
• LCM of 451, 927, 409, 836

1. What is the LCM of 728, 759, 460, 324?

Answer: LCM of 728, 759, 460, 324 is 74594520.

2. How to calculate the LCM of 728, 759, 460, 324?

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 728, 759, 460, 324.

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}.