Given numbers are 798,816,921,294,561

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

The LCM of 798,816,921,294,561 is 2565493392.

Find LCM of 798,816,921,294,561 with Prime Factorization

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

2 x 3 x 7 x 17 x 19 x 8 x 307 x 7 x 11 = 2565493392

Therefore, the lowest common multiple of 798,816,921,294,561 is 2565493392.

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.

798 x 816 x 921 x 294 x 561 = 98915163221952

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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

921 : 1, 3, 307, 921

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

561 : 1, 3, 11, 17, 33, 51, 187, 561

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,816,921,294,561, is 3.

Now, the common factors can be found like this.

798:2x 3x 7x 19

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

921:3x 307

294:2x 3x 7x 7

561:3x 11x 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 3x 3x 3x 7x 17 = 12852

Therefore, the value for common factors is 12852.

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 = 98915163221952/(3x12852)

LCM = 98915163221952/38556

LCM = 2565493392

Thus, we can understand that the LCM of 798,816,921,294,561 is 2565493392.

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

• LCM of 281, 696, 243, 233, 115
• LCM of 847, 314, 955, 200, 472
• LCM of 901, 132, 306, 695, 185
• LCM of 547, 148, 717, 897, 698
• LCM of 978, 666, 644, 562, 664

1. What is the LCM of 798, 816, 921, 294, 561?

Answer: LCM of 798, 816, 921, 294, 561 is 2565493392.

2. How to calculate the LCM of 798, 816, 921, 294, 561?

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 798, 816, 921, 294, 561.

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}.