Given numbers are 566,143,330,514

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

The LCM of 566,143,330,514 is 312015990.

Find LCM of 566,143,330,514 with Prime Factorization

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

2 x 11 x 283 x 13 x 15 x 257 = 312015990

Therefore, the lowest common multiple of 566,143,330,514 is 312015990.

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.

566 x 143 x 330 x 514 = 13728703560

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.

566 : 1, 2, 283, 566

143 : 1, 11, 13, 143

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,143,330,514, is 1.

Now, the common factors can be found like this.

566:2x 283

143:11x 13

330:2x 3x 5x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 13728703560/(1x44)

LCM = 13728703560/44

LCM = 312015990

Thus, we can understand that the LCM of 566,143,330,514 is 312015990.

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

• LCM of 146, 288, 140, 260
• LCM of 635, 870, 796, 697
• LCM of 361, 301, 108, 441
• LCM of 542, 477, 343, 614
• LCM of 896, 341, 543, 263

1. What is the LCM of 566, 143, 330, 514?

Answer: LCM of 566, 143, 330, 514 is 312015990.

2. How to calculate the LCM of 566, 143, 330, 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 566, 143, 330, 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}.