Given numbers are 282,710,422,169,446

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

The LCM of 282,710,422,169,446 is 796070415270.

Find LCM of 282,710,422,169,446 with Prime Factorization

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

2 x 141 x 355 x 211 x 169 x 223 = 796070415270

Therefore, the lowest common multiple of 282,710,422,169,446 is 796070415270.

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.

282 x 710 x 422 x 169 x 446 = 6368563322160

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

710 : 1, 2, 5, 10, 71, 142, 355, 710

422 : 1, 2, 211, 422

169 : 1, 13, 169

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,710,422,169,446, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

710:2x 5x 71

422:2x 211

169:13x 13

446:2x 223

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6368563322160/(1x8)

LCM = 6368563322160/8

LCM = 796070415270

Thus, we can understand that the LCM of 282,710,422,169,446 is 796070415270.

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

• LCM of 464, 712, 751, 772, 261
• LCM of 945, 468, 936, 188, 490
• LCM of 160, 233, 714, 401, 391
• LCM of 579, 741, 175, 458, 843
• LCM of 131, 659, 384, 364, 182

1. What is the LCM of 282, 710, 422, 169, 446?

Answer: LCM of 282, 710, 422, 169, 446 is 796070415270.

2. How to calculate the LCM of 282, 710, 422, 169, 446?

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 282, 710, 422, 169, 446.

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}.