Given numbers are 212,283,285,825

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

The LCM of 212,283,285,825 is 940437300.

Find LCM of 212,283,285,825 with Prime Factorization

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

3 x 5 x 212 x 283 x 19 x 55 = 940437300

Therefore, the lowest common multiple of 212,283,285,825 is 940437300.

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.

212 x 283 x 285 x 825 = 14106559500

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.

212 : 1, 2, 4, 53, 106, 212

283 : 1, 283

285 : 1, 3, 5, 15, 19, 57, 95, 285

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,283,285,825, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

283:283

285:3x 5x 19

825:3x 5x 5x 11

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 14106559500/(1x15)

LCM = 14106559500/15

LCM = 940437300

Thus, we can understand that the LCM of 212,283,285,825 is 940437300.

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

• LCM of 937, 323, 328, 316
• LCM of 175, 540, 582, 312
• LCM of 907, 941, 856, 712
• LCM of 974, 793, 952, 370
• LCM of 961, 534, 488, 764

1. What is the LCM of 212, 283, 285, 825?

Answer: LCM of 212, 283, 285, 825 is 940437300.

2. How to calculate the LCM of 212, 283, 285, 825?

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 212, 283, 285, 825.

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}.