Given numbers are 617,442,162,648,207

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

The LCM of 617,442,162,648,207 is 2032264728.

Find LCM of 617,442,162,648,207 with Prime Factorization

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

2 x 3 x 3 x 3 x 3 x 617 x 221 x 1 x 4 x 23 = 2032264728

Therefore, the lowest common multiple of 617,442,162,648,207 is 2032264728.

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 162 x 648 x 207 = 5926083946848

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,442,162,648,207, is 1.

Now, the common factors can be found like this.

617:617

442:2x 13x 17

162:2x 3x 3x 3x 3

648:2x 2x 2x 3x 3x 3x 3

207:3x 3x 23

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 3x 3x 3x 3x 3x 3 = 2916

Therefore, the value for common factors is 2916.

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 = 5926083946848/(1x2916)

LCM = 5926083946848/2916

LCM = 2032264728

Thus, we can understand that the LCM of 617,442,162,648,207 is 2032264728.

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

• LCM of 849, 271, 311, 712, 232
• LCM of 811, 650, 369, 517, 425
• LCM of 440, 778, 461, 334, 243
• LCM of 370, 150, 641, 215, 942
• LCM of 866, 785, 478, 954, 221

1. What is the LCM of 617, 442, 162, 648, 207?

Answer: LCM of 617, 442, 162, 648, 207 is 2032264728.

2. How to calculate the LCM of 617, 442, 162, 648, 207?

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, 162, 648, 207.

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}.