Given numbers are 993,489,528,713,688

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

The LCM of 993,489,528,713,688 is 873388574256.

Find LCM of 993,489,528,713,688 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 331 x 163 x 11 x 713 x 43 = 873388574256

Therefore, the lowest common multiple of 993,489,528,713,688 is 873388574256.

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.

993 x 489 x 528 x 713 x 688 = 125767954692864

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.

993 : 1, 3, 331, 993

489 : 1, 3, 163, 489

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

713 : 1, 23, 31, 713

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,489,528,713,688, is 1.

Now, the common factors can be found like this.

993:3x 331

489:3x 163

528:2x 2x 2x 2x 3x 11

713:23x 31

688:2x 2x 2x 2x 43

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 = 125767954692864/(1x144)

LCM = 125767954692864/144

LCM = 873388574256

Thus, we can understand that the LCM of 993,489,528,713,688 is 873388574256.

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

• LCM of 501, 741, 947, 661, 776
• LCM of 493, 436, 990, 232, 301
• LCM of 114, 772, 938, 119, 869
• LCM of 558, 622, 528, 204, 213
• LCM of 221, 619, 811, 904, 569

1. What is the LCM of 993, 489, 528, 713, 688?

Answer: LCM of 993, 489, 528, 713, 688 is 873388574256.

2. How to calculate the LCM of 993, 489, 528, 713, 688?

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 993, 489, 528, 713, 688.

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}.