Given numbers are 422,302,122,192,945

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

The LCM of 422,302,122,192,945 is 117544150080.

Find LCM of 422,302,122,192,945 with Prime Factorization

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

2 x 3 x 211 x 151 x 61 x 32 x 315 = 117544150080

Therefore, the lowest common multiple of 422,302,122,192,945 is 117544150080.

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.

422 x 302 x 122 x 192 x 945 = 2821059601920

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.

422 : 1, 2, 211, 422

302 : 1, 2, 151, 302

122 : 1, 2, 61, 122

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,302,122,192,945, is 1.

Now, the common factors can be found like this.

422:2x 211

302:2x 151

122:2x 61

192:2x 2x 2x 2x 2x 2x 3

945:3x 3x 3x 5x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2821059601920/(1x24)

LCM = 2821059601920/24

LCM = 117544150080

Thus, we can understand that the LCM of 422,302,122,192,945 is 117544150080.

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

• LCM of 112, 119, 221, 899, 927
• LCM of 407, 315, 837, 148, 787
• LCM of 413, 570, 106, 806, 414
• LCM of 628, 984, 709, 262, 594
• LCM of 113, 185, 797, 510, 402

1. What is the LCM of 422, 302, 122, 192, 945?

Answer: LCM of 422, 302, 122, 192, 945 is 117544150080.

2. How to calculate the LCM of 422, 302, 122, 192, 945?

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 422, 302, 122, 192, 945.

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}.