Given numbers are 422,170,212,723

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

The LCM of 422,170,212,723 is 2749005060.

Find LCM of 422,170,212,723 with Prime Factorization

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

2 x 211 x 85 x 106 x 723 = 2749005060

Therefore, the lowest common multiple of 422,170,212,723 is 2749005060.

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 170 x 212 x 723 = 10996020240

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

212 : 1, 2, 4, 53, 106, 212

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,170,212,723, is 1.

Now, the common factors can be found like this.

422:2x 211

170:2x 5x 17

212:2x 2x 53

723:3x 241

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 = 10996020240/(1x4)

LCM = 10996020240/4

LCM = 2749005060

Thus, we can understand that the LCM of 422,170,212,723 is 2749005060.

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

• LCM of 680, 423, 964, 339
• LCM of 148, 650, 783, 340
• LCM of 738, 267, 899, 908
• LCM of 501, 515, 780, 545
• LCM of 106, 440, 312, 845

1. What is the LCM of 422, 170, 212, 723?

Answer: LCM of 422, 170, 212, 723 is 2749005060.

2. How to calculate the LCM of 422, 170, 212, 723?

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, 170, 212, 723.

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}.