Given numbers are 408,646,630,268

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

The LCM of 408,646,630,268 is 54535320.

Find LCM of 408,646,630,268 with Prime Factorization

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

2 x 2 x 3 x 17 x 2 x 19 x 105 x 67 = 54535320

Therefore, the lowest common multiple of 408,646,630,268 is 54535320.

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 646 x 630 x 268 = 44500821120

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,646,630,268, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

646:2x 17x 19

630:2x 3x 3x 5x 7

268:2x 2x 67

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 44500821120/(2x408)

LCM = 44500821120/816

LCM = 54535320

Thus, we can understand that the LCM of 408,646,630,268 is 54535320.

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

• LCM of 223, 170, 359, 405
• LCM of 214, 910, 504, 515
• LCM of 428, 477, 880, 262
• LCM of 473, 139, 149, 399
• LCM of 557, 191, 471, 255

1. What is the LCM of 408, 646, 630, 268?

Answer: LCM of 408, 646, 630, 268 is 54535320.

2. How to calculate the LCM of 408, 646, 630, 268?

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, 646, 630, 268.

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}.