Given numbers are 488,462,660,586

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

The LCM of 488,462,660,586 is 165146520.

Find LCM of 488,462,660,586 with Prime Factorization

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

2 x 2 x 3 x 11 x 122 x 7 x 5 x 293 = 165146520

Therefore, the lowest common multiple of 488,462,660,586 is 165146520.

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.

488 x 462 x 660 x 586 = 87197362560

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

586 : 1, 2, 293, 586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,462,660,586, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

462:2x 3x 7x 11

660:2x 2x 3x 5x 11

586:2x 293

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 87197362560/(2x264)

LCM = 87197362560/528

LCM = 165146520

Thus, we can understand that the LCM of 488,462,660,586 is 165146520.

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

• LCM of 797, 594, 778, 188
• LCM of 442, 807, 364, 619
• LCM of 217, 595, 117, 919
• LCM of 805, 599, 712, 706
• LCM of 694, 400, 947, 803

1. What is the LCM of 488, 462, 660, 586?

Answer: LCM of 488, 462, 660, 586 is 165146520.

2. How to calculate the LCM of 488, 462, 660, 586?

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 488, 462, 660, 586.

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}.