Given numbers are 313,504,214,214

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

The LCM of 313,504,214,214 is 16879464.

Find LCM of 313,504,214,214 with Prime Factorization

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

2 x 107 x 313 x 252 x 1 x 1 = 16879464

Therefore, the lowest common multiple of 313,504,214,214 is 16879464.

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.

313 x 504 x 214 x 214 = 7224410592

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.

313 : 1, 313

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

214 : 1, 2, 107, 214

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,504,214,214, is 1.

Now, the common factors can be found like this.

313:313

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

214:2x 107

214:2x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 7224410592/(1x428)

LCM = 7224410592/428

LCM = 16879464

Thus, we can understand that the LCM of 313,504,214,214 is 16879464.

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

• LCM of 649, 534, 158, 995
• LCM of 897, 326, 770, 819
• LCM of 234, 449, 395, 137
• LCM of 875, 821, 154, 405
• LCM of 113, 896, 778, 297

1. What is the LCM of 313, 504, 214, 214?

Answer: LCM of 313, 504, 214, 214 is 16879464.

2. How to calculate the LCM of 313, 504, 214, 214?

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 313, 504, 214, 214.

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}.