Given numbers are 592,299,468,212,514

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

The LCM of 592,299,468,212,514 is 21699233712.

Find LCM of 592,299,468,212,514 with Prime Factorization

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

2 x 2 x 13 x 148 x 23 x 9 x 53 x 257 = 21699233712

Therefore, the lowest common multiple of 592,299,468,212,514 is 21699233712.

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.

592 x 299 x 468 x 212 x 514 = 9026881224192

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

299 : 1, 13, 23, 299

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,299,468,212,514, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

299:13x 23

468:2x 2x 3x 3x 13

212:2x 2x 53

514:2x 257

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 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 9026881224192/(1x416)

LCM = 9026881224192/416

LCM = 21699233712

Thus, we can understand that the LCM of 592,299,468,212,514 is 21699233712.

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

• LCM of 644, 216, 512, 322, 710
• LCM of 316, 692, 250, 184, 151
• LCM of 807, 408, 896, 794, 282
• LCM of 663, 224, 621, 866, 214
• LCM of 146, 187, 827, 910, 516

1. What is the LCM of 592, 299, 468, 212, 514?

Answer: LCM of 592, 299, 468, 212, 514 is 21699233712.

2. How to calculate the LCM of 592, 299, 468, 212, 514?

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 592, 299, 468, 212, 514.

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}.