Given numbers are 182,100,250,400,566

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

The LCM of 182,100,250,400,566 is 51506000.

Find LCM of 182,100,250,400,566 with Prime Factorization

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

2 x 2 x 5 x 5 x 91 x 1 x 5 x 4 x 283 = 51506000

Therefore, the lowest common multiple of 182,100,250,400,566 is 51506000.

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.

182 x 100 x 250 x 400 x 566 = 1030120000000

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

250 : 1, 2, 5, 10, 25, 50, 125, 250

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,100,250,400,566, is 2.

Now, the common factors can be found like this.

182:2x 7x 13

100:2x 2x 5x 5

250:2x 5x 5x 5

400:2x 2x 2x 2x 5x 5

566:2x 283

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 5x 5x 5x 5 = 10000

Therefore, the value for common factors is 10000.

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 = 1030120000000/(2x10000)

LCM = 1030120000000/20000

LCM = 51506000

Thus, we can understand that the LCM of 182,100,250,400,566 is 51506000.

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

• LCM of 785, 459, 527, 162, 651
• LCM of 810, 693, 701, 946, 593
• LCM of 444, 144, 384, 607, 647
• LCM of 365, 505, 622, 336, 335
• LCM of 537, 260, 566, 932, 332

1. What is the LCM of 182, 100, 250, 400, 566?

Answer: LCM of 182, 100, 250, 400, 566 is 51506000.

2. How to calculate the LCM of 182, 100, 250, 400, 566?

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 182, 100, 250, 400, 566.

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}.