Given numbers are 203,461,828,424,814

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

The LCM of 203,461,828,424,814 is 3342932246808.

Find LCM of 203,461,828,424,814 with Prime Factorization

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

2 x 2 x 203 x 461 x 207 x 106 x 407 = 3342932246808

Therefore, the lowest common multiple of 203,461,828,424,814 is 3342932246808.

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.

203 x 461 x 828 x 424 x 814 = 26743457974464

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.

203 : 1, 7, 29, 203

461 : 1, 461

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

424 : 1, 2, 4, 8, 53, 106, 212, 424

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,461,828,424,814, is 1.

Now, the common factors can be found like this.

203:7x 29

461:461

828:2x 2x 3x 3x 23

424:2x 2x 2x 53

814:2x 11x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 26743457974464/(1x8)

LCM = 26743457974464/8

LCM = 3342932246808

Thus, we can understand that the LCM of 203,461,828,424,814 is 3342932246808.

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

• LCM of 912, 947, 776, 894, 623
• LCM of 940, 640, 231, 184, 843
• LCM of 817, 677, 239, 519, 965
• LCM of 495, 839, 220, 229, 663
• LCM of 737, 730, 827, 439, 951

1. What is the LCM of 203, 461, 828, 424, 814?

Answer: LCM of 203, 461, 828, 424, 814 is 3342932246808.

2. How to calculate the LCM of 203, 461, 828, 424, 814?

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 203, 461, 828, 424, 814.

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}.