Given numbers are 414,793,424,912,471

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

The LCM of 414,793,424,912,471 is 415233743184.

Find LCM of 414,793,424,912,471 with Prime Factorization

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

2 x 2 x 2 x 3 x 69 x 793 x 53 x 38 x 157 = 415233743184

Therefore, the lowest common multiple of 414,793,424,912,471 is 415233743184.

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.

414 x 793 x 424 x 912 x 471 = 59793659018496

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

793 : 1, 13, 61, 793

424 : 1, 2, 4, 8, 53, 106, 212, 424

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,793,424,912,471, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

793:13x 61

424:2x 2x 2x 53

912:2x 2x 2x 2x 3x 19

471:3x 157

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 = 59793659018496/(1x144)

LCM = 59793659018496/144

LCM = 415233743184

Thus, we can understand that the LCM of 414,793,424,912,471 is 415233743184.

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

• LCM of 388, 790, 931, 262, 598
• LCM of 909, 416, 603, 218, 938
• LCM of 304, 717, 618, 201, 937
• LCM of 105, 382, 275, 488, 117
• LCM of 898, 495, 559, 870, 910

1. What is the LCM of 414, 793, 424, 912, 471?

Answer: LCM of 414, 793, 424, 912, 471 is 415233743184.

2. How to calculate the LCM of 414, 793, 424, 912, 471?

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 414, 793, 424, 912, 471.

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}.