Given numbers are 361,960,747,211,941

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

The LCM of 361,960,747,211,941 is 17133648805440.

Find LCM of 361,960,747,211,941 with Prime Factorization

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

3 x 361 x 320 x 249 x 211 x 941 = 17133648805440

Therefore, the lowest common multiple of 361,960,747,211,941 is 17133648805440.

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.

361 x 960 x 747 x 211 x 941 = 51400946416320

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.

361 : 1, 19, 361

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

747 : 1, 3, 9, 83, 249, 747

211 : 1, 211

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,960,747,211,941, is 1.

Now, the common factors can be found like this.

361:19x 19

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

747:3x 3x 83

211:211

941:941

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

3 = 3

Therefore, the value for common factors is 3.

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 = 51400946416320/(1x3)

LCM = 51400946416320/3

LCM = 17133648805440

Thus, we can understand that the LCM of 361,960,747,211,941 is 17133648805440.

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

• LCM of 756, 851, 875, 600, 425
• LCM of 570, 961, 382, 243, 287
• LCM of 336, 231, 665, 652, 798
• LCM of 220, 886, 350, 310, 984
• LCM of 484, 635, 153, 877, 306

1. What is the LCM of 361, 960, 747, 211, 941?

Answer: LCM of 361, 960, 747, 211, 941 is 17133648805440.

2. How to calculate the LCM of 361, 960, 747, 211, 941?

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 361, 960, 747, 211, 941.

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}.