Given numbers are 311,828,873,924,744

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

The LCM of 311,828,873,924,744 is 119246289624.

Find LCM of 311,828,873,924,744 with Prime Factorization

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

2 x 2 x 3 x 3 x 311 x 23 x 97 x 77 x 62 = 119246289624

Therefore, the lowest common multiple of 311,828,873,924,744 is 119246289624.

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.

311 x 828 x 873 x 924 x 744 = 154543191352704

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.

311 : 1, 311

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

873 : 1, 3, 9, 97, 291, 873

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,828,873,924,744, is 1.

Now, the common factors can be found like this.

311:311

828:2x 2x 3x 3x 23

873:3x 3x 97

924:2x 2x 3x 7x 11

744:2x 2x 2x 3x 31

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 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 154543191352704/(1x1296)

LCM = 154543191352704/1296

LCM = 119246289624

Thus, we can understand that the LCM of 311,828,873,924,744 is 119246289624.

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

• LCM of 914, 766, 576, 883, 491
• LCM of 711, 964, 892, 439, 582
• LCM of 156, 706, 461, 315, 255
• LCM of 277, 337, 243, 694, 283
• LCM of 326, 563, 625, 636, 629

1. What is the LCM of 311, 828, 873, 924, 744?

Answer: LCM of 311, 828, 873, 924, 744 is 119246289624.

2. How to calculate the LCM of 311, 828, 873, 924, 744?

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 311, 828, 873, 924, 744.

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}.