Given numbers are 738,112,592,351,793

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

The LCM of 738,112,592,351,793 is 3637814544.

Find LCM of 738,112,592,351,793 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 13 x 41 x 7 x 37 x 3 x 61 = 3637814544

Therefore, the lowest common multiple of 738,112,592,351,793 is 3637814544.

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.

738 x 112 x 592 x 351 x 793 = 13619977652736

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

351 : 1, 3, 9, 13, 27, 39, 117, 351

793 : 1, 13, 61, 793

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,112,592,351,793, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

112:2x 2x 2x 2x 7

592:2x 2x 2x 2x 37

351:3x 3x 3x 13

793:13x 61

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 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 13619977652736/(1x3744)

LCM = 13619977652736/3744

LCM = 3637814544

Thus, we can understand that the LCM of 738,112,592,351,793 is 3637814544.

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

• LCM of 737, 890, 112, 746, 435
• LCM of 803, 813, 755, 900, 896
• LCM of 922, 243, 591, 506, 607
• LCM of 342, 314, 821, 464, 674
• LCM of 427, 732, 868, 744, 395

1. What is the LCM of 738, 112, 592, 351, 793?

Answer: LCM of 738, 112, 592, 351, 793 is 3637814544.

2. How to calculate the LCM of 738, 112, 592, 351, 793?

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 738, 112, 592, 351, 793.

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}.