Given numbers are 171,143,489,348,406

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

The LCM of 171,143,489,348,406 is 3236501268.

Find LCM of 171,143,489,348,406 with Prime Factorization

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

2 x 3 x 29 x 57 x 143 x 163 x 2 x 7 = 3236501268

Therefore, the lowest common multiple of 171,143,489,348,406 is 3236501268.

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.

171 x 143 x 489 x 348 x 406 = 1689453661896

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.

171 : 1, 3, 9, 19, 57, 171

143 : 1, 11, 13, 143

489 : 1, 3, 163, 489

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,143,489,348,406, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

143:11x 13

489:3x 163

348:2x 2x 3x 29

406:2x 7x 29

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

2x 3x 3x 29 = 522

Therefore, the value for common factors is 522.

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 = 1689453661896/(1x522)

LCM = 1689453661896/522

LCM = 3236501268

Thus, we can understand that the LCM of 171,143,489,348,406 is 3236501268.

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

• LCM of 126, 781, 546, 844, 861
• LCM of 644, 433, 394, 614, 267
• LCM of 975, 740, 671, 232, 907
• LCM of 743, 347, 224, 403, 642
• LCM of 107, 496, 988, 654, 280

1. What is the LCM of 171, 143, 489, 348, 406?

Answer: LCM of 171, 143, 489, 348, 406 is 3236501268.

2. How to calculate the LCM of 171, 143, 489, 348, 406?

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 171, 143, 489, 348, 406.

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}.