Given numbers are 313,812,624,466,514

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

The LCM of 313,812,624,466,514 is 2374182008016.

Find LCM of 313,812,624,466,514 with Prime Factorization

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

2 x 2 x 313 x 203 x 156 x 233 x 257 = 2374182008016

Therefore, the lowest common multiple of 313,812,624,466,514 is 2374182008016.

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 812 x 624 x 466 x 514 = 37986912128256

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

466 : 1, 2, 233, 466

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,812,624,466,514, is 1.

Now, the common factors can be found like this.

313:313

812:2x 2x 7x 29

624:2x 2x 2x 2x 3x 13

466:2x 233

514:2x 257

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 2 = 16

Therefore, the value for common factors is 16.

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 = 37986912128256/(1x16)

LCM = 37986912128256/16

LCM = 2374182008016

Thus, we can understand that the LCM of 313,812,624,466,514 is 2374182008016.

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

• LCM of 604, 917, 358, 859, 947
• LCM of 863, 290, 849, 399, 970
• LCM of 406, 599, 275, 291, 771
• LCM of 786, 313, 464, 179, 498
• LCM of 262, 386, 415, 212, 960

1. What is the LCM of 313, 812, 624, 466, 514?

Answer: LCM of 313, 812, 624, 466, 514 is 2374182008016.

2. How to calculate the LCM of 313, 812, 624, 466, 514?

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, 812, 624, 466, 514.

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}.