Given numbers are 306,202,204,864

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

The LCM of 306,202,204,864 is 1483488.

Find LCM of 306,202,204,864 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 1 x 101 x 1 x 24 = 1483488

Therefore, the lowest common multiple of 306,202,204,864 is 1483488.

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 202 x 204 x 864 = 10894735872

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

202 : 1, 2, 101, 202

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,202,204,864, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

202:2x 101

204:2x 2x 3x 17

864:2x 2x 2x 2x 2x 3x 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 2x 3x 3x 3x 17 = 3672

Therefore, the value for common factors is 3672.

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 = 10894735872/(2x3672)

LCM = 10894735872/7344

LCM = 1483488

Thus, we can understand that the LCM of 306,202,204,864 is 1483488.

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

• LCM of 561, 927, 381, 426
• LCM of 191, 982, 648, 901
• LCM of 719, 898, 675, 563
• LCM of 982, 287, 830, 401
• LCM of 318, 392, 825, 144

1. What is the LCM of 306, 202, 204, 864?

Answer: LCM of 306, 202, 204, 864 is 1483488.

2. How to calculate the LCM of 306, 202, 204, 864?

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, 202, 204, 864.

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}.