Given numbers are 122,576,894,876,984

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

The LCM of 122,576,894,876,984 is 15669145152.

Find LCM of 122,576,894,876,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 61 x 24 x 149 x 73 x 41 = 15669145152

Therefore, the lowest common multiple of 122,576,894,876,984 is 15669145152.

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.

122 x 576 x 894 x 876 x 984 = 54152565645312

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.

122 : 1, 2, 61, 122

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,576,894,876,984, is 2.

Now, the common factors can be found like this.

122:2x 61

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

894:2x 3x 149

876:2x 2x 3x 73

984:2x 2x 2x 3x 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 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 54152565645312/(2x1728)

LCM = 54152565645312/3456

LCM = 15669145152

Thus, we can understand that the LCM of 122,576,894,876,984 is 15669145152.

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

• LCM of 769, 240, 853, 144, 536
• LCM of 806, 678, 108, 659, 247
• LCM of 898, 865, 823, 572, 384
• LCM of 283, 878, 976, 802, 920
• LCM of 558, 112, 238, 151, 470

1. What is the LCM of 122, 576, 894, 876, 984?

Answer: LCM of 122, 576, 894, 876, 984 is 15669145152.

2. How to calculate the LCM of 122, 576, 894, 876, 984?

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 122, 576, 894, 876, 984.

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}.