Given numbers are 825,330,231,726,199

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

The LCM of 825,330,231,726,199 is 25282950.

Find LCM of 825,330,231,726,199 with Prime Factorization

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

2 x 3 x 5 x 11 x 1 x 5 x 7 x 11 x 199 = 25282950

Therefore, the lowest common multiple of 825,330,231,726,199 is 25282950.

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.

825 x 330 x 231 x 726 x 199 = 9085933741500

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.

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

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

231 : 1, 3, 7, 11, 21, 33, 77, 231

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,330,231,726,199, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

330:2x 3x 5x 11

231:3x 7x 11

726:2x 3x 11x 11

199:199

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

2x 3x 3x 3x 5x 11x 11x 11 = 359370

Therefore, the value for common factors is 359370.

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 = 9085933741500/(1x359370)

LCM = 9085933741500/359370

LCM = 25282950

Thus, we can understand that the LCM of 825,330,231,726,199 is 25282950.

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

• LCM of 102, 583, 703, 268, 953
• LCM of 654, 161, 112, 870, 274
• LCM of 329, 399, 585, 510, 878
• LCM of 253, 168, 969, 201, 206
• LCM of 918, 347, 349, 786, 195

1. What is the LCM of 825, 330, 231, 726, 199?

Answer: LCM of 825, 330, 231, 726, 199 is 25282950.

2. How to calculate the LCM of 825, 330, 231, 726, 199?

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 825, 330, 231, 726, 199.

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}.