Given numbers are 122,549,475,872,814

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

The LCM of 122,549,475,872,814 is 92550090600.

Find LCM of 122,549,475,872,814 with Prime Factorization

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

2 x 61 x 1 x 9 x 475 x 436 x 407 = 92550090600

Therefore, the lowest common multiple of 122,549,475,872,814 is 92550090600.

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 549 x 475 x 872 x 814 = 22582222106400

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

549 : 1, 3, 9, 61, 183, 549

475 : 1, 5, 19, 25, 95, 475

872 : 1, 2, 4, 8, 109, 218, 436, 872

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,549,475,872,814, is 1.

Now, the common factors can be found like this.

122:2x 61

549:3x 3x 61

475:5x 5x 19

872:2x 2x 2x 109

814:2x 11x 37

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 61 = 244

Therefore, the value for common factors is 244.

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 = 22582222106400/(1x244)

LCM = 22582222106400/244

LCM = 92550090600

Thus, we can understand that the LCM of 122,549,475,872,814 is 92550090600.

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

• LCM of 269, 560, 823, 696, 178
• LCM of 430, 576, 941, 129, 328
• LCM of 720, 415, 834, 230, 485
• LCM of 475, 442, 856, 400, 977
• LCM of 622, 783, 117, 382, 176

1. What is the LCM of 122, 549, 475, 872, 814?

Answer: LCM of 122, 549, 475, 872, 814 is 92550090600.

2. How to calculate the LCM of 122, 549, 475, 872, 814?

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, 549, 475, 872, 814.

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}.