Given numbers are 422,214,366,146

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

The LCM of 422,214,366,146 is 603212286.

Find LCM of 422,214,366,146 with Prime Factorization

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

2 x 211 x 107 x 183 x 73 = 603212286

Therefore, the lowest common multiple of 422,214,366,146 is 603212286.

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 214 x 366 x 146 = 4825698288

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

214 : 1, 2, 107, 214

366 : 1, 2, 3, 6, 61, 122, 183, 366

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,214,366,146, is 2.

Now, the common factors can be found like this.

422:2x 211

214:2x 107

366:2x 3x 61

146:2x 73

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 = 4825698288/(2x4)

LCM = 4825698288/8

LCM = 603212286

Thus, we can understand that the LCM of 422,214,366,146 is 603212286.

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

• LCM of 277, 915, 567, 694
• LCM of 647, 111, 844, 858
• LCM of 713, 201, 753, 404
• LCM of 898, 182, 227, 810
• LCM of 525, 232, 383, 331

1. What is the LCM of 422, 214, 366, 146?

Answer: LCM of 422, 214, 366, 146 is 603212286.

2. How to calculate the LCM of 422, 214, 366, 146?

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, 214, 366, 146.

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}.