Given numbers are 624,318,728,314,514

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

The LCM of 624,318,728,314,514 is 9340954896.

Find LCM of 624,318,728,314,514 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 53 x 7 x 157 x 257 = 9340954896

Therefore, the lowest common multiple of 624,318,728,314,514 is 9340954896.

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.

624 x 318 x 728 x 314 x 514 = 23315023420416

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.

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

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

314 : 1, 2, 157, 314

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,318,728,314,514, is 2.

Now, the common factors can be found like this.

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

318:2x 3x 53

728:2x 2x 2x 7x 13

314:2x 157

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 2x 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 23315023420416/(2x1248)

LCM = 23315023420416/2496

LCM = 9340954896

Thus, we can understand that the LCM of 624,318,728,314,514 is 9340954896.

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

• LCM of 512, 667, 641, 614, 417
• LCM of 711, 402, 258, 229, 956
• LCM of 194, 967, 600, 110, 820
• LCM of 283, 945, 350, 635, 832
• LCM of 203, 381, 292, 736, 867

1. What is the LCM of 624, 318, 728, 314, 514?

Answer: LCM of 624, 318, 728, 314, 514 is 9340954896.

2. How to calculate the LCM of 624, 318, 728, 314, 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 624, 318, 728, 314, 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}.