Given numbers are 586,440,128,872,242

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

The LCM of 586,440,128,872,242 is 2473201280.

Find LCM of 586,440,128,872,242 with Prime Factorization

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

2 x 2 x 2 x 11 x 293 x 5 x 16 x 109 x 11 = 2473201280

Therefore, the lowest common multiple of 586,440,128,872,242 is 2473201280.

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.

586 x 440 x 128 x 872 x 242 = 6964534804480

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.

586 : 1, 2, 293, 586

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

128 : 1, 2, 4, 8, 16, 32, 64, 128

872 : 1, 2, 4, 8, 109, 218, 436, 872

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,440,128,872,242, is 2.

Now, the common factors can be found like this.

586:2x 293

440:2x 2x 2x 5x 11

128:2x 2x 2x 2x 2x 2x 2

872:2x 2x 2x 109

242:2x 11x 11

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 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 6964534804480/(2x1408)

LCM = 6964534804480/2816

LCM = 2473201280

Thus, we can understand that the LCM of 586,440,128,872,242 is 2473201280.

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

• LCM of 718, 599, 807, 592, 998
• LCM of 625, 458, 142, 327, 192
• LCM of 416, 897, 985, 591, 656
• LCM of 431, 413, 180, 849, 149
• LCM of 665, 233, 388, 310, 290

1. What is the LCM of 586, 440, 128, 872, 242?

Answer: LCM of 586, 440, 128, 872, 242 is 2473201280.

2. How to calculate the LCM of 586, 440, 128, 872, 242?

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 586, 440, 128, 872, 242.

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}.