Given numbers are 318,630,464,467

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

The LCM of 318,630,464,467 is 3617606160.

Find LCM of 318,630,464,467 with Prime Factorization

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

2 x 3 x 53 x 105 x 232 x 467 = 3617606160

Therefore, the lowest common multiple of 318,630,464,467 is 3617606160.

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.

318 x 630 x 464 x 467 = 43411273920

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,630,464,467, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

630:2x 3x 3x 5x 7

464:2x 2x 2x 2x 29

467:467

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 3 = 12

Therefore, the value for common factors is 12.

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 = 43411273920/(1x12)

LCM = 43411273920/12

LCM = 3617606160

Thus, we can understand that the LCM of 318,630,464,467 is 3617606160.

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

• LCM of 479, 184, 740, 306
• LCM of 706, 807, 136, 465
• LCM of 755, 590, 259, 139
• LCM of 126, 577, 283, 231
• LCM of 552, 409, 926, 475

1. What is the LCM of 318, 630, 464, 467?

Answer: LCM of 318, 630, 464, 467 is 3617606160.

2. How to calculate the LCM of 318, 630, 464, 467?

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 318, 630, 464, 467.

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}.