Given numbers are 421,566,324,514,442

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

The LCM of 421,566,324,514,442 is 2192496650604.

Find LCM of 421,566,324,514,442 with Prime Factorization

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

2 x 421 x 283 x 162 x 257 x 221 = 2192496650604

Therefore, the lowest common multiple of 421,566,324,514,442 is 2192496650604.

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.

421 x 566 x 324 x 514 x 442 = 17539973204832

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.

421 : 1, 421

566 : 1, 2, 283, 566

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

514 : 1, 2, 257, 514

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,566,324,514,442, is 1.

Now, the common factors can be found like this.

421:421

566:2x 283

324:2x 2x 3x 3x 3x 3

514:2x 257

442:2x 13x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17539973204832/(1x8)

LCM = 17539973204832/8

LCM = 2192496650604

Thus, we can understand that the LCM of 421,566,324,514,442 is 2192496650604.

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

• LCM of 427, 991, 849, 682, 298
• LCM of 541, 145, 567, 910, 337
• LCM of 452, 893, 430, 831, 600
• LCM of 188, 197, 856, 749, 492
• LCM of 552, 907, 618, 278, 842

1. What is the LCM of 421, 566, 324, 514, 442?

Answer: LCM of 421, 566, 324, 514, 442 is 2192496650604.

2. How to calculate the LCM of 421, 566, 324, 514, 442?

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 421, 566, 324, 514, 442.

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}.