Given numbers are 210,466,819,920,408

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

The LCM of 210,466,819,920,408 is 2984534280.

Find LCM of 210,466,819,920,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 1 x 233 x 39 x 23 x 17 = 2984534280

Therefore, the lowest common multiple of 210,466,819,920,408 is 2984534280.

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.

210 x 466 x 819 x 920 x 408 = 30084105542400

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

466 : 1, 2, 233, 466

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 210,466,819,920,408, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

466:2x 233

819:3x 3x 7x 13

920:2x 2x 2x 5x 23

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 3x 3x 5x 7 = 10080

Therefore, the value for common factors is 10080.

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 = 30084105542400/(1x10080)

LCM = 30084105542400/10080

LCM = 2984534280

Thus, we can understand that the LCM of 210,466,819,920,408 is 2984534280.

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

• LCM of 881, 656, 888, 483, 374
• LCM of 406, 974, 834, 937, 315
• LCM of 878, 943, 898, 786, 630
• LCM of 373, 237, 949, 152, 861
• LCM of 952, 821, 488, 256, 333

1. What is the LCM of 210, 466, 819, 920, 408?

Answer: LCM of 210, 466, 819, 920, 408 is 2984534280.

2. How to calculate the LCM of 210, 466, 819, 920, 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 210, 466, 819, 920, 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}.