Given numbers are 408,306,398,552

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

The LCM of 408,306,398,552 is 5602248.

Find LCM of 408,306,398,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 3 x 199 x 23 = 5602248

Therefore, the lowest common multiple of 408,306,398,552 is 5602248.

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 306 x 398 x 552 = 27428606208

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

398 : 1, 2, 199, 398

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,306,398,552, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

306:2x 3x 3x 17

398:2x 199

552:2x 2x 2x 3x 23

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 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 27428606208/(2x2448)

LCM = 27428606208/4896

LCM = 5602248

Thus, we can understand that the LCM of 408,306,398,552 is 5602248.

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

• LCM of 893, 410, 251, 167
• LCM of 240, 400, 314, 646
• LCM of 755, 405, 574, 428
• LCM of 883, 696, 321, 957
• LCM of 925, 357, 138, 459

1. What is the LCM of 408, 306, 398, 552?

Answer: LCM of 408, 306, 398, 552 is 5602248.

2. How to calculate the LCM of 408, 306, 398, 552?

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, 306, 398, 552.

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}.