Given numbers are 408,808,430,363,171

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

The LCM of 408,808,430,363,171 is 61105488840.

Find LCM of 408,808,430,363,171 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 101 x 215 x 121 x 57 = 61105488840

Therefore, the lowest common multiple of 408,808,430,363,171 is 61105488840.

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.

408 x 808 x 430 x 363 x 171 = 8799190392960

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.

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

430 : 1, 2, 5, 10, 43, 86, 215, 430

363 : 1, 3, 11, 33, 121, 363

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,808,430,363,171, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

808:2x 2x 2x 101

430:2x 5x 43

363:3x 11x 11

171:3x 3x 19

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 3 = 144

Therefore, the value for common factors is 144.

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 = 8799190392960/(1x144)

LCM = 8799190392960/144

LCM = 61105488840

Thus, we can understand that the LCM of 408,808,430,363,171 is 61105488840.

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

• LCM of 300, 112, 164, 876, 798
• LCM of 482, 527, 260, 280, 913
• LCM of 965, 582, 139, 859, 780
• LCM of 877, 775, 630, 861, 232
• LCM of 193, 384, 628, 960, 126

1. What is the LCM of 408, 808, 430, 363, 171?

Answer: LCM of 408, 808, 430, 363, 171 is 61105488840.

2. How to calculate the LCM of 408, 808, 430, 363, 171?

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 408, 808, 430, 363, 171.

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}.