Given numbers are 268,963,820,442,816

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

The LCM of 268,963,820,442,816 is 46769982480.

Find LCM of 268,963,820,442,816 with Prime Factorization

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

2 x 2 x 3 x 17 x 67 x 321 x 205 x 13 x 4 = 46769982480

Therefore, the lowest common multiple of 268,963,820,442,816 is 46769982480.

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.

268 x 963 x 820 x 442 x 816 = 76328611407360

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.

268 : 1, 2, 4, 67, 134, 268

963 : 1, 3, 9, 107, 321, 963

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

442 : 1, 2, 13, 17, 26, 34, 221, 442

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,963,820,442,816, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

963:3x 3x 107

820:2x 2x 5x 41

442:2x 13x 17

816:2x 2x 2x 2x 3x 17

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 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 76328611407360/(1x1632)

LCM = 76328611407360/1632

LCM = 46769982480

Thus, we can understand that the LCM of 268,963,820,442,816 is 46769982480.

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

• LCM of 502, 901, 998, 342, 521
• LCM of 351, 676, 893, 282, 541
• LCM of 116, 386, 200, 386, 266
• LCM of 450, 576, 168, 709, 240
• LCM of 951, 610, 573, 185, 913

1. What is the LCM of 268, 963, 820, 442, 816?

Answer: LCM of 268, 963, 820, 442, 816 is 46769982480.

2. How to calculate the LCM of 268, 963, 820, 442, 816?

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 268, 963, 820, 442, 816.

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}.