Given numbers are 364,258,504,496,514

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

The LCM of 364,258,504,496,514 is 4489181424.

Find LCM of 364,258,504,496,514 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 43 x 3 x 62 x 257 = 4489181424

Therefore, the lowest common multiple of 364,258,504,496,514 is 4489181424.

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.

364 x 258 x 504 x 496 x 514 = 12066919667712

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.

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,258,504,496,514, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

258:2x 3x 43

504:2x 2x 2x 3x 3x 7

496:2x 2x 2x 2x 31

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 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 12066919667712/(2x1344)

LCM = 12066919667712/2688

LCM = 4489181424

Thus, we can understand that the LCM of 364,258,504,496,514 is 4489181424.

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

• LCM of 369, 246, 595, 128, 309
• LCM of 519, 104, 229, 752, 811
• LCM of 922, 767, 618, 777, 946
• LCM of 114, 967, 944, 269, 417
• LCM of 864, 655, 830, 323, 543

1. What is the LCM of 364, 258, 504, 496, 514?

Answer: LCM of 364, 258, 504, 496, 514 is 4489181424.

2. How to calculate the LCM of 364, 258, 504, 496, 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 364, 258, 504, 496, 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}.