Given numbers are 406,460,717,22

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

The LCM of 406,460,717,22 is 736488060.

Find LCM of 406,460,717,22 with Prime Factorization

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

2 x 203 x 230 x 717 x 11 = 736488060

Therefore, the lowest common multiple of 406,460,717,22 is 736488060.

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.

406 x 460 x 717 x 22 = 2945952240

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

717 : 1, 3, 239, 717

22 : 1, 2, 11, 22

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,460,717,22, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

460:2x 2x 5x 23

717:3x 239

22:2x 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 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 = 2945952240/(1x4)

LCM = 2945952240/4

LCM = 736488060

Thus, we can understand that the LCM of 406,460,717,22 is 736488060.

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

• LCM of 694, 392, 639, 68
• LCM of 557, 146, 873, 89
• LCM of 449, 163, 789, 45
• LCM of 878, 411, 342, 79
• LCM of 166, 986, 781, 45

1. What is the LCM of 406, 460, 717, 22?

Answer: LCM of 406, 460, 717, 22 is 736488060.

2. How to calculate the LCM of 406, 460, 717, 22?

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 406, 460, 717, 22.

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}.