Given numbers are 459,219,284,121,815

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

The LCM of 459,219,284,121,815 is 938419156620.

Find LCM of 459,219,284,121,815 with Prime Factorization

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

3 x 153 x 73 x 284 x 121 x 815 = 938419156620

Therefore, the lowest common multiple of 459,219,284,121,815 is 938419156620.

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.

459 x 219 x 284 x 121 x 815 = 2815257469860

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

219 : 1, 3, 73, 219

284 : 1, 2, 4, 71, 142, 284

121 : 1, 11, 121

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,219,284,121,815, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

219:3x 73

284:2x 2x 71

121:11x 11

815:5x 163

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

3 = 3

Therefore, the value for common factors is 3.

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 = 2815257469860/(1x3)

LCM = 2815257469860/3

LCM = 938419156620

Thus, we can understand that the LCM of 459,219,284,121,815 is 938419156620.

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

• LCM of 373, 527, 301, 316, 392
• LCM of 707, 785, 631, 861, 662
• LCM of 446, 766, 913, 797, 813
• LCM of 203, 721, 515, 937, 413
• LCM of 385, 963, 988, 792, 918

1. What is the LCM of 459, 219, 284, 121, 815?

Answer: LCM of 459, 219, 284, 121, 815 is 938419156620.

2. How to calculate the LCM of 459, 219, 284, 121, 815?

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 459, 219, 284, 121, 815.

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}.