Given numbers are 442,907,208,306

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

The LCM of 442,907,208,306 is 28864368.

Find LCM of 442,907,208,306 with Prime Factorization

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

2 x 13 x 17 x 1 x 907 x 8 x 9 = 28864368

Therefore, the lowest common multiple of 442,907,208,306 is 28864368.

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.

442 x 907 x 208 x 306 = 25516101312

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.

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

907 : 1, 907

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,907,208,306, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

907:907

208:2x 2x 2x 2x 13

306:2x 3x 3x 17

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 25516101312/(1x884)

LCM = 25516101312/884

LCM = 28864368

Thus, we can understand that the LCM of 442,907,208,306 is 28864368.

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

• LCM of 653, 720, 397, 298
• LCM of 733, 626, 280, 284
• LCM of 229, 375, 652, 459
• LCM of 240, 751, 783, 418
• LCM of 116, 445, 732, 881

1. What is the LCM of 442, 907, 208, 306?

Answer: LCM of 442, 907, 208, 306 is 28864368.

2. How to calculate the LCM of 442, 907, 208, 306?

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 442, 907, 208, 306.

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}.