Given numbers are 467,428,344,225

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

The LCM of 467,428,344,225 is 3867600600.

Find LCM of 467,428,344,225 with Prime Factorization

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

2 x 2 x 467 x 107 x 86 x 225 = 3867600600

Therefore, the lowest common multiple of 467,428,344,225 is 3867600600.

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.

467 x 428 x 344 x 225 = 15470402400

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.

467 : 1, 467

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

344 : 1, 2, 4, 8, 43, 86, 172, 344

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,428,344,225, is 1.

Now, the common factors can be found like this.

467:467

428:2x 2x 107

344:2x 2x 2x 43

225:3x 3x 5x 5

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 = 15470402400/(1x4)

LCM = 15470402400/4

LCM = 3867600600

Thus, we can understand that the LCM of 467,428,344,225 is 3867600600.

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

• LCM of 445, 444, 953, 973
• LCM of 834, 159, 764, 605
• LCM of 864, 689, 830, 435
• LCM of 220, 103, 197, 695
• LCM of 196, 464, 820, 896

1. What is the LCM of 467, 428, 344, 225?

Answer: LCM of 467, 428, 344, 225 is 3867600600.

2. How to calculate the LCM of 467, 428, 344, 225?

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 467, 428, 344, 225.

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}.