Given numbers are 363,106,304,105

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

The LCM of 363,106,304,105 is 204702960.

Find LCM of 363,106,304,105 with Prime Factorization

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

2 x 3 x 121 x 53 x 152 x 35 = 204702960

Therefore, the lowest common multiple of 363,106,304,105 is 204702960.

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.

363 x 106 x 304 x 105 = 1228217760

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.

363 : 1, 3, 11, 33, 121, 363

106 : 1, 2, 53, 106

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,106,304,105, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

106:2x 53

304:2x 2x 2x 2x 19

105:3x 5x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1228217760/(1x6)

LCM = 1228217760/6

LCM = 204702960

Thus, we can understand that the LCM of 363,106,304,105 is 204702960.

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

• LCM of 671, 280, 898, 796
• LCM of 327, 609, 500, 288
• LCM of 429, 674, 547, 260
• LCM of 699, 373, 782, 878
• LCM of 241, 112, 958, 815

1. What is the LCM of 363, 106, 304, 105?

Answer: LCM of 363, 106, 304, 105 is 204702960.

2. How to calculate the LCM of 363, 106, 304, 105?

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 363, 106, 304, 105.

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}.