Given numbers are 306,466,542,406

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

The LCM of 306,466,542,406 is 3922316874.

Find LCM of 306,466,542,406 with Prime Factorization

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

2 x 153 x 233 x 271 x 203 = 3922316874

Therefore, the lowest common multiple of 306,466,542,406 is 3922316874.

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.

306 x 466 x 542 x 406 = 31378534992

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

466 : 1, 2, 233, 466

542 : 1, 2, 271, 542

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,466,542,406, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

466:2x 233

542:2x 271

406:2x 7x 29

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 = 31378534992/(2x4)

LCM = 31378534992/8

LCM = 3922316874

Thus, we can understand that the LCM of 306,466,542,406 is 3922316874.

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

• LCM of 809, 337, 949, 682
• LCM of 386, 614, 337, 659
• LCM of 787, 739, 886, 975
• LCM of 860, 170, 462, 701
• LCM of 385, 273, 825, 940

1. What is the LCM of 306, 466, 542, 406?

Answer: LCM of 306, 466, 542, 406 is 3922316874.

2. How to calculate the LCM of 306, 466, 542, 406?

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 306, 466, 542, 406.

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}.