Given numbers are 306,576,371,363,618

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

The LCM of 306,576,371,363,618 is 45275985216.

Find LCM of 306,576,371,363,618 with Prime Factorization

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

2 x 3 x 3 x 17 x 32 x 371 x 121 x 103 = 45275985216

Therefore, the lowest common multiple of 306,576,371,363,618 is 45275985216.

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 576 x 371 x 363 x 618 = 14669419209984

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

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

371 : 1, 7, 53, 371

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

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,576,371,363,618, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

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

371:7x 53

363:3x 11x 11

618:2x 3x 103

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 3 = 324

Therefore, the value for common factors is 324.

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 = 14669419209984/(1x324)

LCM = 14669419209984/324

LCM = 45275985216

Thus, we can understand that the LCM of 306,576,371,363,618 is 45275985216.

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

• LCM of 500, 815, 566, 851, 571
• LCM of 450, 553, 252, 108, 214
• LCM of 341, 374, 223, 603, 904
• LCM of 618, 981, 554, 837, 203
• LCM of 730, 625, 451, 291, 131

1. What is the LCM of 306, 576, 371, 363, 618?

Answer: LCM of 306, 576, 371, 363, 618 is 45275985216.

2. How to calculate the LCM of 306, 576, 371, 363, 618?

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, 576, 371, 363, 618.

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}.