Given numbers are 816,765,497,984,289

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

The LCM of 816,765,497,984,289 is 4240046160.

Find LCM of 816,765,497,984,289 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 2 x 15 x 497 x 41 x 17 = 4240046160

Therefore, the lowest common multiple of 816,765,497,984,289 is 4240046160.

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 765 x 497 x 984 x 289 = 88226880497280

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

497 : 1, 7, 71, 497

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,765,497,984,289, is 1.

Now, the common factors can be found like this.

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

765:3x 3x 5x 17

497:7x 71

984:2x 2x 2x 3x 41

289:17x 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 3x 3x 17x 17 = 20808

Therefore, the value for common factors is 20808.

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 = 88226880497280/(1x20808)

LCM = 88226880497280/20808

LCM = 4240046160

Thus, we can understand that the LCM of 816,765,497,984,289 is 4240046160.

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

• LCM of 785, 301, 530, 639, 990
• LCM of 204, 212, 770, 672, 449
• LCM of 908, 961, 700, 681, 818
• LCM of 730, 463, 859, 766, 648
• LCM of 993, 105, 463, 281, 612

1. What is the LCM of 816, 765, 497, 984, 289?

Answer: LCM of 816, 765, 497, 984, 289 is 4240046160.

2. How to calculate the LCM of 816, 765, 497, 984, 289?

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, 765, 497, 984, 289.

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}.