Given numbers are 488,696,828,230,444

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

The LCM of 488,696,828,230,444 is 541950840.

Find LCM of 488,696,828,230,444 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 61 x 29 x 3 x 5 x 37 = 541950840

Therefore, the lowest common multiple of 488,696,828,230,444 is 541950840.

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 696 x 828 x 230 x 444 = 28719058913280

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

230 : 1, 2, 5, 10, 23, 46, 115, 230

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,696,828,230,444, is 2.

Now, the common factors can be found like this.

488:2x 2x 2x 61

696:2x 2x 2x 3x 29

828:2x 2x 3x 3x 23

230:2x 5x 23

444:2x 2x 3x 37

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 3x 3x 23 = 26496

Therefore, the value for common factors is 26496.

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 = 28719058913280/(2x26496)

LCM = 28719058913280/52992

LCM = 541950840

Thus, we can understand that the LCM of 488,696,828,230,444 is 541950840.

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

• LCM of 806, 827, 926, 306, 574
• LCM of 937, 173, 694, 892, 337
• LCM of 774, 287, 599, 820, 168
• LCM of 367, 389, 466, 339, 494
• LCM of 678, 321, 993, 896, 741

1. What is the LCM of 488, 696, 828, 230, 444?

Answer: LCM of 488, 696, 828, 230, 444 is 541950840.

2. How to calculate the LCM of 488, 696, 828, 230, 444?

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, 696, 828, 230, 444.

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}.