Given numbers are 442,264,732,471,590

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

The LCM of 442,264,732,471,590 is 164834343960.

Find LCM of 442,264,732,471,590 with Prime Factorization

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

2 x 2 x 3 x 221 x 22 x 61 x 157 x 295 = 164834343960

Therefore, the lowest common multiple of 442,264,732,471,590 is 164834343960.

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.

442 x 264 x 732 x 471 x 590 = 23736145530240

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.

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

471 : 1, 3, 157, 471

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,264,732,471,590, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

264:2x 2x 2x 3x 11

732:2x 2x 3x 61

471:3x 157

590:2x 5x 59

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 23736145530240/(1x144)

LCM = 23736145530240/144

LCM = 164834343960

Thus, we can understand that the LCM of 442,264,732,471,590 is 164834343960.

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

• LCM of 211, 223, 922, 269, 477
• LCM of 992, 686, 384, 917, 644
• LCM of 745, 982, 416, 957, 673
• LCM of 136, 833, 122, 456, 516
• LCM of 244, 624, 664, 299, 324

1. What is the LCM of 442, 264, 732, 471, 590?

Answer: LCM of 442, 264, 732, 471, 590 is 164834343960.

2. How to calculate the LCM of 442, 264, 732, 471, 590?

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 442, 264, 732, 471, 590.

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}.