Given numbers are 608,283,972,308,328

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

The LCM of 608,283,972,308,328 is 131999069664.

Find LCM of 608,283,972,308,328 with Prime Factorization

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

2 x 2 x 2 x 76 x 283 x 243 x 77 x 41 = 131999069664

Therefore, the lowest common multiple of 608,283,972,308,328 is 131999069664.

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.

608 x 283 x 972 x 308 x 328 = 16895880916992

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

283 : 1, 283

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,283,972,308,328, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

283:283

972:2x 2x 3x 3x 3x 3x 3

308:2x 2x 7x 11

328:2x 2x 2x 41

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 16895880916992/(1x128)

LCM = 16895880916992/128

LCM = 131999069664

Thus, we can understand that the LCM of 608,283,972,308,328 is 131999069664.

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

• LCM of 862, 380, 610, 359, 888
• LCM of 541, 899, 241, 131, 759
• LCM of 914, 761, 980, 414, 429
• LCM of 642, 143, 729, 216, 204
• LCM of 518, 780, 333, 328, 181

1. What is the LCM of 608, 283, 972, 308, 328?

Answer: LCM of 608, 283, 972, 308, 328 is 131999069664.

2. How to calculate the LCM of 608, 283, 972, 308, 328?

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 608, 283, 972, 308, 328.

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}.