Given numbers are 299,207,364,492,213

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

The LCM of 299,207,364,492,213 is 219338028.

Find LCM of 299,207,364,492,213 with Prime Factorization

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

2 x 2 x 3 x 13 x 23 x 1 x 3 x 7 x 41 x 71 = 219338028

Therefore, the lowest common multiple of 299,207,364,492,213 is 219338028.

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.

299 x 207 x 364 x 492 x 213 = 2360954533392

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.

299 : 1, 13, 23, 299

207 : 1, 3, 9, 23, 69, 207

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,207,364,492,213, is 1.

Now, the common factors can be found like this.

299:13x 23

207:3x 3x 23

364:2x 2x 7x 13

492:2x 2x 3x 41

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.

2x 2x 3x 3x 13x 23 = 10764

Therefore, the value for common factors is 10764.

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 = 2360954533392/(1x10764)

LCM = 2360954533392/10764

LCM = 219338028

Thus, we can understand that the LCM of 299,207,364,492,213 is 219338028.

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

• LCM of 597, 651, 800, 557, 319
• LCM of 451, 560, 789, 683, 671
• LCM of 969, 851, 685, 812, 388
• LCM of 762, 604, 978, 568, 911
• LCM of 892, 682, 267, 421, 693

1. What is the LCM of 299, 207, 364, 492, 213?

Answer: LCM of 299, 207, 364, 492, 213 is 219338028.

2. How to calculate the LCM of 299, 207, 364, 492, 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 299, 207, 364, 492, 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}.