Given numbers are 273,384,656,933,821

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

The LCM of 273,384,656,933,821 is 365813745024.

Find LCM of 273,384,656,933,821 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 91 x 8 x 41 x 311 x 821 = 365813745024

Therefore, the lowest common multiple of 273,384,656,933,821 is 365813745024.

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.

273 x 384 x 656 x 933 x 821 = 52677179283456

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

933 : 1, 3, 311, 933

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,384,656,933,821, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

384:2x 2x 2x 2x 2x 2x 2x 3

656:2x 2x 2x 2x 41

933:3x 311

821:821

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 = 52677179283456/(1x144)

LCM = 52677179283456/144

LCM = 365813745024

Thus, we can understand that the LCM of 273,384,656,933,821 is 365813745024.

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

• LCM of 186, 280, 834, 567, 825
• LCM of 309, 245, 701, 287, 401
• LCM of 461, 297, 679, 665, 574
• LCM of 592, 401, 281, 880, 453
• LCM of 795, 935, 722, 109, 300

1. What is the LCM of 273, 384, 656, 933, 821?

Answer: LCM of 273, 384, 656, 933, 821 is 365813745024.

2. How to calculate the LCM of 273, 384, 656, 933, 821?

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 273, 384, 656, 933, 821.

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}.