Given numbers are 408,367,201,686,960

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

The LCM of 408,367,201,686,960 is 137643320640.

Find LCM of 408,367,201,686,960 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 367 x 67 x 343 x 40 = 137643320640

Therefore, the lowest common multiple of 408,367,201,686,960 is 137643320640.

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 367 x 201 x 686 x 960 = 19820638172160

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

367 : 1, 367

201 : 1, 3, 67, 201

686 : 1, 2, 7, 14, 49, 98, 343, 686

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,367,201,686,960, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

367:367

201:3x 67

686:2x 7x 7x 7

960:2x 2x 2x 2x 2x 2x 3x 5

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 = 19820638172160/(1x144)

LCM = 19820638172160/144

LCM = 137643320640

Thus, we can understand that the LCM of 408,367,201,686,960 is 137643320640.

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

• LCM of 543, 388, 351, 282, 101
• LCM of 603, 499, 660, 774, 903
• LCM of 197, 210, 417, 872, 383
• LCM of 554, 459, 146, 124, 288
• LCM of 873, 148, 551, 167, 360

1. What is the LCM of 408, 367, 201, 686, 960?

Answer: LCM of 408, 367, 201, 686, 960 is 137643320640.

2. How to calculate the LCM of 408, 367, 201, 686, 960?

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, 367, 201, 686, 960.

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}.