Given numbers are 462,442,289,233,464

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

The LCM of 462,442,289,233,464 is 93826837104.

Find LCM of 462,442,289,233,464 with Prime Factorization

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

2 x 17 x 231 x 13 x 17 x 233 x 232 = 93826837104

Therefore, the lowest common multiple of 462,442,289,233,464 is 93826837104.

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.

462 x 442 x 289 x 233 x 464 = 6380224923072

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

442 : 1, 2, 13, 17, 26, 34, 221, 442

289 : 1, 17, 289

233 : 1, 233

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,442,289,233,464, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

442:2x 13x 17

289:17x 17

233:233

464:2x 2x 2x 2x 29

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 17 = 68

Therefore, the value for common factors is 68.

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 = 6380224923072/(1x68)

LCM = 6380224923072/68

LCM = 93826837104

Thus, we can understand that the LCM of 462,442,289,233,464 is 93826837104.

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

• LCM of 565, 430, 244, 883, 635
• LCM of 534, 799, 790, 870, 458
• LCM of 800, 976, 367, 824, 789
• LCM of 697, 207, 152, 547, 452
• LCM of 973, 266, 469, 118, 626

1. What is the LCM of 462, 442, 289, 233, 464?

Answer: LCM of 462, 442, 289, 233, 464 is 93826837104.

2. How to calculate the LCM of 462, 442, 289, 233, 464?

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 462, 442, 289, 233, 464.

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}.