Given numbers are 730,322,423,458

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

The LCM of 730,322,423,458 is 11384778510.

Find LCM of 730,322,423,458 with Prime Factorization

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

2 x 365 x 161 x 423 x 229 = 11384778510

Therefore, the lowest common multiple of 730,322,423,458 is 11384778510.

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.

730 x 322 x 423 x 458 = 45539114040

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

322 : 1, 2, 7, 14, 23, 46, 161, 322

423 : 1, 3, 9, 47, 141, 423

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,322,423,458, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

322:2x 7x 23

423:3x 3x 47

458:2x 229

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 45539114040/(1x4)

LCM = 45539114040/4

LCM = 11384778510

Thus, we can understand that the LCM of 730,322,423,458 is 11384778510.

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

• LCM of 772, 874, 484, 601
• LCM of 595, 167, 760, 355
• LCM of 397, 694, 438, 665
• LCM of 675, 503, 416, 533
• LCM of 538, 743, 699, 739

1. What is the LCM of 730, 322, 423, 458?

Answer: LCM of 730, 322, 423, 458 is 11384778510.

2. How to calculate the LCM of 730, 322, 423, 458?

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 730, 322, 423, 458.

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}.