Given numbers are 403,540,489,828

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

The LCM of 403,540,489,828 is 815857380.

Find LCM of 403,540,489,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 403 x 15 x 163 x 23 = 815857380

Therefore, the lowest common multiple of 403,540,489,828 is 815857380.

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.

403 x 540 x 489 x 828 = 88112597040

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.

403 : 1, 13, 31, 403

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

489 : 1, 3, 163, 489

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,540,489,828, is 1.

Now, the common factors can be found like this.

403:13x 31

540:2x 2x 3x 3x 3x 5

489:3x 163

828:2x 2x 3x 3x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 88112597040/(1x108)

LCM = 88112597040/108

LCM = 815857380

Thus, we can understand that the LCM of 403,540,489,828 is 815857380.

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

• LCM of 611, 978, 303, 501
• LCM of 730, 542, 427, 191
• LCM of 981, 206, 752, 302
• LCM of 332, 591, 722, 302
• LCM of 681, 716, 372, 591

1. What is the LCM of 403, 540, 489, 828?

Answer: LCM of 403, 540, 489, 828 is 815857380.

2. How to calculate the LCM of 403, 540, 489, 828?

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 403, 540, 489, 828.

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}.