Given numbers are 363,922,953,819,480

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

The LCM of 363,922,953,819,480 is 6965993754720.

Find LCM of 363,922,953,819,480 with Prime Factorization

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

2 x 3 x 121 x 461 x 953 x 273 x 80 = 6965993754720

Therefore, the lowest common multiple of 363,922,953,819,480 is 6965993754720.

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 922 x 953 x 819 x 480 = 125387887584960

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

922 : 1, 2, 461, 922

953 : 1, 953

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,922,953,819,480, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

922:2x 461

953:953

819:3x 3x 7x 13

480:2x 2x 2x 2x 2x 3x 5

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 = 125387887584960/(1x18)

LCM = 125387887584960/18

LCM = 6965993754720

Thus, we can understand that the LCM of 363,922,953,819,480 is 6965993754720.

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

• LCM of 559, 709, 777, 467, 967
• LCM of 249, 250, 619, 792, 212
• LCM of 150, 672, 636, 572, 149
• LCM of 531, 145, 870, 633, 327
• LCM of 421, 154, 288, 297, 475

1. What is the LCM of 363, 922, 953, 819, 480?

Answer: LCM of 363, 922, 953, 819, 480 is 6965993754720.

2. How to calculate the LCM of 363, 922, 953, 819, 480?

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, 922, 953, 819, 480.

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}.