Given numbers are 816,746,306,841,802

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

The LCM of 816,746,306,841,802 is 307936106064.

Find LCM of 816,746,306,841,802 with Prime Factorization

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

2 x 3 x 17 x 8 x 373 x 3 x 841 x 401 = 307936106064

Therefore, the lowest common multiple of 816,746,306,841,802 is 307936106064.

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.

816 x 746 x 306 x 841 x 802 = 125637931274112

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.

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

746 : 1, 2, 373, 746

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

841 : 1, 29, 841

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,746,306,841,802, is 1.

Now, the common factors can be found like this.

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

746:2x 373

306:2x 3x 3x 17

841:29x 29

802:2x 401

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 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 125637931274112/(1x408)

LCM = 125637931274112/408

LCM = 307936106064

Thus, we can understand that the LCM of 816,746,306,841,802 is 307936106064.

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

• LCM of 475, 758, 976, 534, 260
• LCM of 881, 112, 338, 801, 570
• LCM of 731, 270, 465, 484, 348
• LCM of 217, 410, 818, 871, 802
• LCM of 515, 391, 675, 302, 457

1. What is the LCM of 816, 746, 306, 841, 802?

Answer: LCM of 816, 746, 306, 841, 802 is 307936106064.

2. How to calculate the LCM of 816, 746, 306, 841, 802?

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 816, 746, 306, 841, 802.

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}.