Given numbers are 239,378,422,416,800

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

The LCM of 239,378,422,416,800 is 99123242400.

Find LCM of 239,378,422,416,800 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 239 x 189 x 211 x 13 x 25 = 99123242400

Therefore, the lowest common multiple of 239,378,422,416,800 is 99123242400.

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.

239 x 378 x 422 x 416 x 800 = 12687775027200

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.

239 : 1, 239

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

422 : 1, 2, 211, 422

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,378,422,416,800, is 1.

Now, the common factors can be found like this.

239:239

378:2x 3x 3x 3x 7

422:2x 211

416:2x 2x 2x 2x 2x 13

800:2x 2x 2x 2x 2x 5x 5

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 2 = 128

Therefore, the value for common factors is 128.

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 = 12687775027200/(1x128)

LCM = 12687775027200/128

LCM = 99123242400

Thus, we can understand that the LCM of 239,378,422,416,800 is 99123242400.

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

• LCM of 116, 398, 616, 109, 344
• LCM of 672, 594, 592, 244, 220
• LCM of 892, 429, 164, 994, 753
• LCM of 329, 961, 763, 721, 936
• LCM of 326, 202, 253, 340, 491

1. What is the LCM of 239, 378, 422, 416, 800?

Answer: LCM of 239, 378, 422, 416, 800 is 99123242400.

2. How to calculate the LCM of 239, 378, 422, 416, 800?

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 239, 378, 422, 416, 800.

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}.