Given numbers are 798,367,288,888,919

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

The LCM of 798,367,288,888,919 is 477999484704.

Find LCM of 798,367,288,888,919 with Prime Factorization

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

2 x 2 x 2 x 3 x 133 x 367 x 12 x 37 x 919 = 477999484704

Therefore, the lowest common multiple of 798,367,288,888,919 is 477999484704.

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 367 x 288 x 888 x 919 = 68831925797376

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

367 : 1, 367

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,367,288,888,919, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

367:367

288:2x 2x 2x 2x 2x 3x 3

888:2x 2x 2x 3x 37

919:919

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 68831925797376/(1x144)

LCM = 68831925797376/144

LCM = 477999484704

Thus, we can understand that the LCM of 798,367,288,888,919 is 477999484704.

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

• LCM of 870, 279, 788, 903, 416
• LCM of 716, 308, 710, 724, 192
• LCM of 538, 913, 599, 988, 570
• LCM of 791, 960, 155, 350, 400
• LCM of 769, 863, 183, 478, 824

1. What is the LCM of 798, 367, 288, 888, 919?

Answer: LCM of 798, 367, 288, 888, 919 is 477999484704.

2. How to calculate the LCM of 798, 367, 288, 888, 919?

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, 367, 288, 888, 919.

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}.