Given numbers are 914,394,752,177,462

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

The LCM of 914,394,752,177,462 is 922707941232.

Find LCM of 914,394,752,177,462 with Prime Factorization

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

2 x 3 x 457 x 197 x 376 x 59 x 77 = 922707941232

Therefore, the lowest common multiple of 914,394,752,177,462 is 922707941232.

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.

914 x 394 x 752 x 177 x 462 = 22144990589568

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.

914 : 1, 2, 457, 914

394 : 1, 2, 197, 394

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

177 : 1, 3, 59, 177

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,394,752,177,462, is 1.

Now, the common factors can be found like this.

914:2x 457

394:2x 197

752:2x 2x 2x 2x 47

177:3x 59

462:2x 3x 7x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 22144990589568/(1x24)

LCM = 22144990589568/24

LCM = 922707941232

Thus, we can understand that the LCM of 914,394,752,177,462 is 922707941232.

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

• LCM of 475, 165, 409, 262, 946
• LCM of 622, 451, 713, 428, 967
• LCM of 518, 370, 111, 588, 479
• LCM of 864, 179, 533, 250, 385
• LCM of 937, 453, 860, 339, 578

1. What is the LCM of 914, 394, 752, 177, 462?

Answer: LCM of 914, 394, 752, 177, 462 is 922707941232.

2. How to calculate the LCM of 914, 394, 752, 177, 462?

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 914, 394, 752, 177, 462.

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}.