Given numbers are 306,106,159,576

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

The LCM of 306,106,159,576 is 518976.

Find LCM of 306,106,159,576 with Prime Factorization

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

2 x 3 x 3 x 53 x 17 x 1 x 1 x 32 = 518976

Therefore, the lowest common multiple of 306,106,159,576 is 518976.

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 106 x 159 x 576 = 2970618624

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

106 : 1, 2, 53, 106

159 : 1, 3, 53, 159

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,106,159,576, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

106:2x 53

159:3x 53

576:2x 2x 2x 2x 2x 2x 3x 3

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 3x 3x 3x 53 = 5724

Therefore, the value for common factors is 5724.

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 = 2970618624/(1x5724)

LCM = 2970618624/5724

LCM = 518976

Thus, we can understand that the LCM of 306,106,159,576 is 518976.

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

• LCM of 244, 739, 418, 229
• LCM of 436, 573, 276, 344
• LCM of 717, 104, 719, 348
• LCM of 285, 677, 708, 104
• LCM of 811, 238, 144, 243

1. What is the LCM of 306, 106, 159, 576?

Answer: LCM of 306, 106, 159, 576 is 518976.

2. How to calculate the LCM of 306, 106, 159, 576?

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, 106, 159, 576.

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}.