Given numbers are 428,439,404,509

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

The LCM of 428,439,404,509 is 9659339828.

Find LCM of 428,439,404,509 with Prime Factorization

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

2 x 2 x 107 x 439 x 101 x 509 = 9659339828

Therefore, the lowest common multiple of 428,439,404,509 is 9659339828.

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.

428 x 439 x 404 x 509 = 38637359312

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.

428 : 1, 2, 4, 107, 214, 428

439 : 1, 439

404 : 1, 2, 4, 101, 202, 404

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,439,404,509, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

439:439

404:2x 2x 101

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 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 = 38637359312/(1x4)

LCM = 38637359312/4

LCM = 9659339828

Thus, we can understand that the LCM of 428,439,404,509 is 9659339828.

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

• LCM of 812, 302, 121, 280
• LCM of 212, 688, 521, 821
• LCM of 200, 236, 766, 656
• LCM of 268, 697, 339, 172
• LCM of 171, 639, 580, 697

1. What is the LCM of 428, 439, 404, 509?

Answer: LCM of 428, 439, 404, 509 is 9659339828.

2. How to calculate the LCM of 428, 439, 404, 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 428, 439, 404, 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}.