Given numbers are 363,138,433,408

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

The LCM of 363,138,433,408 is 491655912.

Find LCM of 363,138,433,408 with Prime Factorization

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

2 x 3 x 121 x 23 x 433 x 68 = 491655912

Therefore, the lowest common multiple of 363,138,433,408 is 491655912.

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 138 x 433 x 408 = 8849806416

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

433 : 1, 433

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,138,433,408, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

138:2x 3x 23

433:433

408:2x 2x 2x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 8849806416/(1x18)

LCM = 8849806416/18

LCM = 491655912

Thus, we can understand that the LCM of 363,138,433,408 is 491655912.

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

• LCM of 713, 313, 131, 530
• LCM of 612, 612, 987, 930
• LCM of 767, 301, 569, 935
• LCM of 460, 597, 315, 667
• LCM of 862, 627, 397, 641

1. What is the LCM of 363, 138, 433, 408?

Answer: LCM of 363, 138, 433, 408 is 491655912.

2. How to calculate the LCM of 363, 138, 433, 408?

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, 138, 433, 408.

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}.