Given numbers are 558,588,924,993,327

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

The LCM of 558,588,924,993,327 is 21702384396.

Find LCM of 558,588,924,993,327 with Prime Factorization

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

2 x 2 x 3 x 7 x 93 x 7 x 11 x 331 x 109 = 21702384396

Therefore, the lowest common multiple of 558,588,924,993,327 is 21702384396.

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.

558 x 588 x 924 x 993 x 327 = 98442015620256

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

993 : 1, 3, 331, 993

327 : 1, 3, 109, 327

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,588,924,993,327, is 3.

Now, the common factors can be found like this.

558:2x 3x 3x 31

588:2x 2x 3x 7x 7

924:2x 2x 3x 7x 11

993:3x 331

327:3x 109

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 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 98442015620256/(3x1512)

LCM = 98442015620256/4536

LCM = 21702384396

Thus, we can understand that the LCM of 558,588,924,993,327 is 21702384396.

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

• LCM of 350, 339, 107, 647, 250
• LCM of 184, 947, 242, 398, 427
• LCM of 492, 382, 681, 555, 548
• LCM of 415, 337, 321, 780, 222
• LCM of 644, 689, 904, 738, 408

1. What is the LCM of 558, 588, 924, 993, 327?

Answer: LCM of 558, 588, 924, 993, 327 is 21702384396.

2. How to calculate the LCM of 558, 588, 924, 993, 327?

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 558, 588, 924, 993, 327.

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}.