Given numbers are 201,417,208,871

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

The LCM of 201,417,208,871 is 5811312.

Find LCM of 201,417,208,871 with Prime Factorization

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

3 x 13 x 67 x 1 x 139 x 16 x 1 = 5811312

Therefore, the lowest common multiple of 201,417,208,871 is 5811312.

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.

201 x 417 x 208 x 871 = 15184958256

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.

201 : 1, 3, 67, 201

417 : 1, 3, 139, 417

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,417,208,871, is 1.

Now, the common factors can be found like this.

201:3x 67

417:3x 139

208:2x 2x 2x 2x 13

871:13x 67

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

3x 13x 67 = 2613

Therefore, the value for common factors is 2613.

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 = 15184958256/(1x2613)

LCM = 15184958256/2613

LCM = 5811312

Thus, we can understand that the LCM of 201,417,208,871 is 5811312.

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

• LCM of 131, 689, 696, 340
• LCM of 392, 139, 723, 813
• LCM of 726, 191, 585, 731
• LCM of 348, 279, 796, 856
• LCM of 145, 487, 308, 497

1. What is the LCM of 201, 417, 208, 871?

Answer: LCM of 201, 417, 208, 871 is 5811312.

2. How to calculate the LCM of 201, 417, 208, 871?

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 201, 417, 208, 871.

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}.