Given numbers are 470,494,614,538

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

The LCM of 470,494,614,538 is 9587060470.

Find LCM of 470,494,614,538 with Prime Factorization

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

2 x 235 x 247 x 307 x 269 = 9587060470

Therefore, the lowest common multiple of 470,494,614,538 is 9587060470.

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.

470 x 494 x 614 x 538 = 76696483760

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

494 : 1, 2, 13, 19, 26, 38, 247, 494

614 : 1, 2, 307, 614

538 : 1, 2, 269, 538

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,494,614,538, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

494:2x 13x 19

614:2x 307

538:2x 269

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 76696483760/(2x4)

LCM = 76696483760/8

LCM = 9587060470

Thus, we can understand that the LCM of 470,494,614,538 is 9587060470.

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

• LCM of 979, 796, 257, 682
• LCM of 260, 327, 708, 232
• LCM of 790, 270, 954, 143
• LCM of 634, 518, 706, 583
• LCM of 338, 868, 595, 733

1. What is the LCM of 470, 494, 614, 538?

Answer: LCM of 470, 494, 614, 538 is 9587060470.

2. How to calculate the LCM of 470, 494, 614, 538?

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 470, 494, 614, 538.

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}.