Given numbers are 857,106,122,576

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

The LCM of 857,106,122,576 is 1595912256.

Find LCM of 857,106,122,576 with Prime Factorization

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

2 x 857 x 53 x 61 x 288 = 1595912256

Therefore, the lowest common multiple of 857,106,122,576 is 1595912256.

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.

857 x 106 x 122 x 576 = 6383649024

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.

857 : 1, 857

106 : 1, 2, 53, 106

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,106,122,576, is 1.

Now, the common factors can be found like this.

857:857

106:2x 53

122:2x 61

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6383649024/(1x4)

LCM = 6383649024/4

LCM = 1595912256

Thus, we can understand that the LCM of 857,106,122,576 is 1595912256.

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

• LCM of 615, 854, 776, 371
• LCM of 862, 944, 917, 180
• LCM of 446, 614, 416, 415
• LCM of 845, 455, 150, 995
• LCM of 933, 765, 587, 732

1. What is the LCM of 857, 106, 122, 576?

Answer: LCM of 857, 106, 122, 576 is 1595912256.

2. How to calculate the LCM of 857, 106, 122, 576?

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 857, 106, 122, 576.

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}.