Given numbers are 468,505,283,424

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

The LCM of 468,505,283,424 is 7089727320.

Find LCM of 468,505,283,424 with Prime Factorization

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

2 x 2 x 117 x 505 x 283 x 106 = 7089727320

Therefore, the lowest common multiple of 468,505,283,424 is 7089727320.

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.

468 x 505 x 283 x 424 = 28358909280

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

505 : 1, 5, 101, 505

283 : 1, 283

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,505,283,424, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

505:5x 101

283:283

424:2x 2x 2x 53

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 = 28358909280/(1x4)

LCM = 28358909280/4

LCM = 7089727320

Thus, we can understand that the LCM of 468,505,283,424 is 7089727320.

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

• LCM of 385, 590, 792, 829
• LCM of 987, 284, 172, 571
• LCM of 109, 515, 220, 900
• LCM of 932, 627, 797, 638
• LCM of 220, 507, 770, 244

1. What is the LCM of 468, 505, 283, 424?

Answer: LCM of 468, 505, 283, 424 is 7089727320.

2. How to calculate the LCM of 468, 505, 283, 424?

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 468, 505, 283, 424.

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}.