Given numbers are 531,408,728,293

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

The LCM of 531,408,728,293 is 1925495208.

Find LCM of 531,408,728,293 with Prime Factorization

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

2 x 2 x 2 x 3 x 177 x 17 x 91 x 293 = 1925495208

Therefore, the lowest common multiple of 531,408,728,293 is 1925495208.

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.

531 x 408 x 728 x 293 = 46211884992

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.

531 : 1, 3, 9, 59, 177, 531

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,408,728,293, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

408:2x 2x 2x 3x 17

728:2x 2x 2x 7x 13

293:293

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 3 = 24

Therefore, the value for common factors is 24.

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 = 46211884992/(1x24)

LCM = 46211884992/24

LCM = 1925495208

Thus, we can understand that the LCM of 531,408,728,293 is 1925495208.

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

• LCM of 811, 772, 545, 716
• LCM of 635, 273, 155, 455
• LCM of 654, 889, 968, 511
• LCM of 589, 364, 427, 341
• LCM of 225, 237, 305, 637

1. What is the LCM of 531, 408, 728, 293?

Answer: LCM of 531, 408, 728, 293 is 1925495208.

2. How to calculate the LCM of 531, 408, 728, 293?

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 531, 408, 728, 293.

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}.