Given numbers are 270,256,608,306

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

The LCM of 270,256,608,306 is 11162880.

Find LCM of 270,256,608,306 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 15 x 8 x 19 x 17 = 11162880

Therefore, the lowest common multiple of 270,256,608,306 is 11162880.

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.

270 x 256 x 608 x 306 = 12859637760

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,256,608,306, is 2.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

256:2x 2x 2x 2x 2x 2x 2x 2

608:2x 2x 2x 2x 2x 19

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 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 12859637760/(2x576)

LCM = 12859637760/1152

LCM = 11162880

Thus, we can understand that the LCM of 270,256,608,306 is 11162880.

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

• LCM of 816, 972, 899, 257
• LCM of 143, 165, 719, 380
• LCM of 646, 891, 907, 286
• LCM of 173, 401, 118, 898
• LCM of 233, 467, 731, 280

1. What is the LCM of 270, 256, 608, 306?

Answer: LCM of 270, 256, 608, 306 is 11162880.

2. How to calculate the LCM of 270, 256, 608, 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 270, 256, 608, 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}.