Given numbers are 879,432,945,489,403

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

The LCM of 879,432,945,489,403 is 291012780240.

Find LCM of 879,432,945,489,403 with Prime Factorization

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

3 x 3 x 3 x 293 x 16 x 35 x 163 x 403 = 291012780240

Therefore, the lowest common multiple of 879,432,945,489,403 is 291012780240.

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.

879 x 432 x 945 x 489 x 403 = 70716105598320

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.

879 : 1, 3, 293, 879

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

489 : 1, 3, 163, 489

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,432,945,489,403, is 1.

Now, the common factors can be found like this.

879:3x 293

432:2x 2x 2x 2x 3x 3x 3

945:3x 3x 3x 5x 7

489:3x 163

403:13x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 3 = 243

Therefore, the value for common factors is 243.

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 = 70716105598320/(1x243)

LCM = 70716105598320/243

LCM = 291012780240

Thus, we can understand that the LCM of 879,432,945,489,403 is 291012780240.

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

• LCM of 193, 270, 840, 403, 131
• LCM of 112, 148, 470, 842, 915
• LCM of 155, 632, 369, 595, 401
• LCM of 546, 694, 745, 862, 969
• LCM of 317, 949, 403, 686, 325

1. What is the LCM of 879, 432, 945, 489, 403?

Answer: LCM of 879, 432, 945, 489, 403 is 291012780240.

2. How to calculate the LCM of 879, 432, 945, 489, 403?

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 879, 432, 945, 489, 403.

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}.