Given numbers are 617,442,125,172,412

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

The LCM of 617,442,125,172,412 is 301962576500.

Find LCM of 617,442,125,172,412 with Prime Factorization

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

2 x 2 x 617 x 221 x 125 x 43 x 103 = 301962576500

Therefore, the lowest common multiple of 617,442,125,172,412 is 301962576500.

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.

617 x 442 x 125 x 172 x 412 = 2415700612000

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.

617 : 1, 617

442 : 1, 2, 13, 17, 26, 34, 221, 442

125 : 1, 5, 25, 125

172 : 1, 2, 4, 43, 86, 172

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,442,125,172,412, is 1.

Now, the common factors can be found like this.

617:617

442:2x 13x 17

125:5x 5x 5

172:2x 2x 43

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2415700612000/(1x8)

LCM = 2415700612000/8

LCM = 301962576500

Thus, we can understand that the LCM of 617,442,125,172,412 is 301962576500.

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

• LCM of 786, 211, 451, 793, 610
• LCM of 309, 507, 304, 547, 626
• LCM of 446, 963, 327, 787, 650
• LCM of 123, 124, 585, 142, 665
• LCM of 302, 486, 373, 555, 992

1. What is the LCM of 617, 442, 125, 172, 412?

Answer: LCM of 617, 442, 125, 172, 412 is 301962576500.

2. How to calculate the LCM of 617, 442, 125, 172, 412?

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 617, 442, 125, 172, 412.

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}.