Given numbers are 228,758,792,330,462

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

The LCM of 228,758,792,330,462 is 199611720.

Find LCM of 228,758,792,330,462 with Prime Factorization

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

2 x 2 x 3 x 11 x 19 x 379 x 6 x 5 x 7 = 199611720

Therefore, the lowest common multiple of 228,758,792,330,462 is 199611720.

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.

228 x 758 x 792 x 330 x 462 = 20868207655680

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

758 : 1, 2, 379, 758

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,758,792,330,462, is 2.

Now, the common factors can be found like this.

228:2x 2x 3x 19

758:2x 379

792:2x 2x 2x 3x 3x 11

330:2x 3x 5x 11

462:2x 3x 7x 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 3x 3x 3x 11x 11 = 52272

Therefore, the value for common factors is 52272.

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 = 20868207655680/(2x52272)

LCM = 20868207655680/104544

LCM = 199611720

Thus, we can understand that the LCM of 228,758,792,330,462 is 199611720.

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

• LCM of 411, 361, 875, 513, 857
• LCM of 132, 869, 854, 442, 382
• LCM of 868, 451, 582, 115, 967
• LCM of 411, 341, 100, 146, 884
• LCM of 194, 445, 144, 248, 457

1. What is the LCM of 228, 758, 792, 330, 462?

Answer: LCM of 228, 758, 792, 330, 462 is 199611720.

2. How to calculate the LCM of 228, 758, 792, 330, 462?

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 228, 758, 792, 330, 462.

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}.