Given numbers are 318,229,504,416,609

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

The LCM of 318,229,504,416,609 is 9224508384.

Find LCM of 318,229,504,416,609 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 53 x 229 x 3 x 52 x 29 = 9224508384

Therefore, the lowest common multiple of 318,229,504,416,609 is 9224508384.

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 229 x 504 x 416 x 609 = 9298304451072

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

229 : 1, 229

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,229,504,416,609, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

229:229

504:2x 2x 2x 3x 3x 7

416:2x 2x 2x 2x 2x 13

609:3x 7x 29

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 2x 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 9298304451072/(1x1008)

LCM = 9298304451072/1008

LCM = 9224508384

Thus, we can understand that the LCM of 318,229,504,416,609 is 9224508384.

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

• LCM of 964, 300, 449, 180, 283
• LCM of 783, 434, 449, 205, 926
• LCM of 944, 665, 323, 825, 644
• LCM of 749, 545, 518, 890, 672
• LCM of 226, 807, 627, 734, 722

1. What is the LCM of 318, 229, 504, 416, 609?

Answer: LCM of 318, 229, 504, 416, 609 is 9224508384.

2. How to calculate the LCM of 318, 229, 504, 416, 609?

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, 229, 504, 416, 609.

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}.