Given numbers are 236,261,585,213

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

The LCM of 236,261,585,213 is 284265540.

Find LCM of 236,261,585,213 with Prime Factorization

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

3 x 3 x 236 x 29 x 65 x 71 = 284265540

Therefore, the lowest common multiple of 236,261,585,213 is 284265540.

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.

236 x 261 x 585 x 213 = 7675169580

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.

236 : 1, 2, 4, 59, 118, 236

261 : 1, 3, 9, 29, 87, 261

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

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,261,585,213, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

261:3x 3x 29

585:3x 3x 5x 13

213:3x 71

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 7675169580/(1x27)

LCM = 7675169580/27

LCM = 284265540

Thus, we can understand that the LCM of 236,261,585,213 is 284265540.

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

• LCM of 624, 655, 431, 514
• LCM of 632, 496, 595, 626
• LCM of 806, 350, 181, 734
• LCM of 204, 599, 651, 181
• LCM of 310, 870, 544, 734

1. What is the LCM of 236, 261, 585, 213?

Answer: LCM of 236, 261, 585, 213 is 284265540.

2. How to calculate the LCM of 236, 261, 585, 213?

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 236, 261, 585, 213.

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}.