Given numbers are 827,633,221,800,524

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

The LCM of 827,633,221,800,524 is 12124470352800.

Find LCM of 827,633,221,800,524 with Prime Factorization

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

2 x 2 x 827 x 633 x 221 x 200 x 131 = 12124470352800

Therefore, the lowest common multiple of 827,633,221,800,524 is 12124470352800.

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.

827 x 633 x 221 x 800 x 524 = 48497881411200

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.

827 : 1, 827

633 : 1, 3, 211, 633

221 : 1, 13, 17, 221

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,633,221,800,524, is 1.

Now, the common factors can be found like this.

827:827

633:3x 211

221:13x 17

800:2x 2x 2x 2x 2x 5x 5

524:2x 2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 48497881411200/(1x4)

LCM = 48497881411200/4

LCM = 12124470352800

Thus, we can understand that the LCM of 827,633,221,800,524 is 12124470352800.

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

• LCM of 296, 994, 577, 154, 131
• LCM of 216, 704, 555, 447, 906
• LCM of 906, 356, 935, 672, 820
• LCM of 334, 578, 150, 244, 182
• LCM of 979, 309, 874, 368, 258

1. What is the LCM of 827, 633, 221, 800, 524?

Answer: LCM of 827, 633, 221, 800, 524 is 12124470352800.

2. How to calculate the LCM of 827, 633, 221, 800, 524?

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 827, 633, 221, 800, 524.

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}.