Given numbers are 948,331,540,164,408

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

The LCM of 948,331,540,164,408 is 19683921240.

Find LCM of 948,331,540,164,408 with Prime Factorization

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

2 x 2 x 3 x 79 x 331 x 45 x 41 x 34 = 19683921240

Therefore, the lowest common multiple of 948,331,540,164,408 is 19683921240.

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.

948 x 331 x 540 x 164 x 408 = 11337938634240

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

331 : 1, 331

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

164 : 1, 2, 4, 41, 82, 164

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,331,540,164,408, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

331:331

540:2x 2x 3x 3x 3x 5

164:2x 2x 41

408:2x 2x 2x 3x 17

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 11337938634240/(1x576)

LCM = 11337938634240/576

LCM = 19683921240

Thus, we can understand that the LCM of 948,331,540,164,408 is 19683921240.

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

• LCM of 670, 843, 149, 387, 208
• LCM of 180, 536, 878, 716, 642
• LCM of 269, 154, 378, 477, 665
• LCM of 526, 741, 279, 929, 789
• LCM of 489, 810, 110, 655, 319

1. What is the LCM of 948, 331, 540, 164, 408?

Answer: LCM of 948, 331, 540, 164, 408 is 19683921240.

2. How to calculate the LCM of 948, 331, 540, 164, 408?

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 948, 331, 540, 164, 408.

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}.