Given numbers are 407,385,338,906

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

The LCM of 407,385,338,906 is 2181108930.

Find LCM of 407,385,338,906 with Prime Factorization

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

2 x 11 x 37 x 35 x 169 x 453 = 2181108930

Therefore, the lowest common multiple of 407,385,338,906 is 2181108930.

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 385 x 338 x 906 = 47984396460

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

338 : 1, 2, 13, 26, 169, 338

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,385,338,906, is 1.

Now, the common factors can be found like this.

407:11x 37

385:5x 7x 11

338:2x 13x 13

906:2x 3x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 47984396460/(1x22)

LCM = 47984396460/22

LCM = 2181108930

Thus, we can understand that the LCM of 407,385,338,906 is 2181108930.

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

• LCM of 756, 837, 282, 238
• LCM of 866, 447, 603, 313
• LCM of 150, 328, 945, 665
• LCM of 917, 200, 959, 425
• LCM of 472, 526, 275, 650

1. What is the LCM of 407, 385, 338, 906?

Answer: LCM of 407, 385, 338, 906 is 2181108930.

2. How to calculate the LCM of 407, 385, 338, 906?

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, 385, 338, 906.

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}.