Given numbers are 428,464,574,313

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

The LCM of 428,464,574,313 is 4459929488.

Find LCM of 428,464,574,313 with Prime Factorization

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

2 x 2 x 107 x 116 x 287 x 313 = 4459929488

Therefore, the lowest common multiple of 428,464,574,313 is 4459929488.

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 464 x 574 x 313 = 35679435904

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

574 : 1, 2, 7, 14, 41, 82, 287, 574

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,464,574,313, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

464:2x 2x 2x 2x 29

574:2x 7x 41

313:313

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 35679435904/(1x8)

LCM = 35679435904/8

LCM = 4459929488

Thus, we can understand that the LCM of 428,464,574,313 is 4459929488.

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

• LCM of 945, 147, 151, 737
• LCM of 927, 834, 910, 950
• LCM of 479, 594, 214, 356
• LCM of 808, 967, 935, 570
• LCM of 360, 477, 786, 778

1. What is the LCM of 428, 464, 574, 313?

Answer: LCM of 428, 464, 574, 313 is 4459929488.

2. How to calculate the LCM of 428, 464, 574, 313?

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, 464, 574, 313.

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}.