Given numbers are 213,91,585,122

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

The LCM of 213,91,585,122 is 35470890.

Find LCM of 213,91,585,122 with Prime Factorization

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

3 x 13 x 71 x 7 x 15 x 122 = 35470890

Therefore, the lowest common multiple of 213,91,585,122 is 35470890.

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.

213 x 91 x 585 x 122 = 1383364710

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.

213 : 1, 3, 71, 213

91 : 1, 7, 13, 91

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,91,585,122, is 1.

Now, the common factors can be found like this.

213:3x 71

91:7x 13

585:3x 3x 5x 13

122:2x 61

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 1383364710/(1x39)

LCM = 1383364710/39

LCM = 35470890

Thus, we can understand that the LCM of 213,91,585,122 is 35470890.

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

• LCM of 538, 44, 646, 144
• LCM of 585, 27, 605, 880
• LCM of 219, 15, 429, 313
• LCM of 366, 64, 348, 573
• LCM of 186, 52, 227, 659

1. What is the LCM of 213, 91, 585, 122?

Answer: LCM of 213, 91, 585, 122 is 35470890.

2. How to calculate the LCM of 213, 91, 585, 122?

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 213, 91, 585, 122.

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}.