Given numbers are 407,626,342,30

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

The LCM of 407,626,342,30 is 217838610.

Find LCM of 407,626,342,30 with Prime Factorization

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

2 x 3 x 407 x 313 x 57 x 5 = 217838610

Therefore, the lowest common multiple of 407,626,342,30 is 217838610.

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.

407 x 626 x 342 x 30 = 2614063320

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.

407 : 1, 11, 37, 407

626 : 1, 2, 313, 626

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

30 : 1, 2, 3, 5, 6, 10, 15, 30

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,626,342,30, is 1.

Now, the common factors can be found like this.

407:11x 37

626:2x 313

342:2x 3x 3x 19

30:2x 3x 5

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 3 = 12

Therefore, the value for common factors is 12.

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 = 2614063320/(1x12)

LCM = 2614063320/12

LCM = 217838610

Thus, we can understand that the LCM of 407,626,342,30 is 217838610.

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

• LCM of 305, 317, 369, 72
• LCM of 872, 621, 561, 46
• LCM of 639, 462, 138, 84
• LCM of 476, 782, 729, 20
• LCM of 105, 490, 845, 44

1. What is the LCM of 407, 626, 342, 30?

Answer: LCM of 407, 626, 342, 30 is 217838610.

2. How to calculate the LCM of 407, 626, 342, 30?

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 407, 626, 342, 30.

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}.