Given numbers are 171,508,353,956,216

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

The LCM of 171,508,353,956,216 is 43972755336.

Find LCM of 171,508,353,956,216 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 127 x 353 x 239 x 6 = 43972755336

Therefore, the lowest common multiple of 171,508,353,956,216 is 43972755336.

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 508 x 353 x 956 x 216 = 6332076768384

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

508 : 1, 2, 4, 127, 254, 508

353 : 1, 353

956 : 1, 2, 4, 239, 478, 956

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,508,353,956,216, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

508:2x 2x 127

353:353

956:2x 2x 239

216:2x 2x 2x 3x 3x 3

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 = 6332076768384/(1x144)

LCM = 6332076768384/144

LCM = 43972755336

Thus, we can understand that the LCM of 171,508,353,956,216 is 43972755336.

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

• LCM of 691, 667, 890, 795, 648
• LCM of 204, 596, 158, 850, 119
• LCM of 248, 598, 635, 191, 680
• LCM of 599, 798, 715, 583, 329
• LCM of 131, 922, 750, 628, 676

1. What is the LCM of 171, 508, 353, 956, 216?

Answer: LCM of 171, 508, 353, 956, 216 is 43972755336.

2. How to calculate the LCM of 171, 508, 353, 956, 216?

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, 508, 353, 956, 216.

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}.