Given numbers are 444,471,414,509

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

The LCM of 444,471,414,509 is 2448214668.

Find LCM of 444,471,414,509 with Prime Factorization

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

2 x 3 x 74 x 157 x 69 x 509 = 2448214668

Therefore, the lowest common multiple of 444,471,414,509 is 2448214668.

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.

444 x 471 x 414 x 509 = 44067864024

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

471 : 1, 3, 157, 471

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,471,414,509, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

471:3x 157

414:2x 3x 3x 23

509:509

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 3 = 18

Therefore, the value for common factors is 18.

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 = 44067864024/(1x18)

LCM = 44067864024/18

LCM = 2448214668

Thus, we can understand that the LCM of 444,471,414,509 is 2448214668.

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

• LCM of 266, 739, 373, 182
• LCM of 971, 429, 532, 176
• LCM of 898, 130, 922, 969
• LCM of 310, 134, 508, 313
• LCM of 447, 399, 950, 480

1. What is the LCM of 444, 471, 414, 509?

Answer: LCM of 444, 471, 414, 509 is 2448214668.

2. How to calculate the LCM of 444, 471, 414, 509?

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 444, 471, 414, 509.

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}.