Given numbers are 180,128,796,662,948

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

The LCM of 180,128,796,662,948 is 29973029760.

Find LCM of 180,128,796,662,948 with Prime Factorization

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

2 x 2 x 3 x 15 x 32 x 199 x 331 x 79 = 29973029760

Therefore, the lowest common multiple of 180,128,796,662,948 is 29973029760.

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.

180 x 128 x 796 x 662 x 948 = 11509643427840

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

128 : 1, 2, 4, 8, 16, 32, 64, 128

796 : 1, 2, 4, 199, 398, 796

662 : 1, 2, 331, 662

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,128,796,662,948, is 2.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

128:2x 2x 2x 2x 2x 2x 2

796:2x 2x 199

662:2x 331

948:2x 2x 3x 79

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 3 = 192

Therefore, the value for common factors is 192.

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 = 11509643427840/(2x192)

LCM = 11509643427840/384

LCM = 29973029760

Thus, we can understand that the LCM of 180,128,796,662,948 is 29973029760.

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

• LCM of 457, 220, 869, 167, 456
• LCM of 582, 752, 935, 164, 168
• LCM of 650, 495, 624, 141, 829
• LCM of 509, 776, 111, 855, 406
• LCM of 574, 289, 120, 191, 422

1. What is the LCM of 180, 128, 796, 662, 948?

Answer: LCM of 180, 128, 796, 662, 948 is 29973029760.

2. How to calculate the LCM of 180, 128, 796, 662, 948?

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 180, 128, 796, 662, 948.

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}.