Given numbers are 106,442,168,409

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

The LCM of 106,442,168,409 is 804823656.

Find LCM of 106,442,168,409 with Prime Factorization

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

2 x 53 x 221 x 84 x 409 = 804823656

Therefore, the lowest common multiple of 106,442,168,409 is 804823656.

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.

106 x 442 x 168 x 409 = 3219294624

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.

106 : 1, 2, 53, 106

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,442,168,409, is 1.

Now, the common factors can be found like this.

106:2x 53

442:2x 13x 17

168:2x 2x 2x 3x 7

409:409

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 = 3219294624/(1x4)

LCM = 3219294624/4

LCM = 804823656

Thus, we can understand that the LCM of 106,442,168,409 is 804823656.

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

• LCM of 869, 555, 849, 660
• LCM of 857, 555, 205, 526
• LCM of 666, 626, 610, 971
• LCM of 531, 832, 880, 153
• LCM of 804, 426, 454, 204

1. What is the LCM of 106, 442, 168, 409?

Answer: LCM of 106, 442, 168, 409 is 804823656.

2. How to calculate the LCM of 106, 442, 168, 409?

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 106, 442, 168, 409.

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}.