Given numbers are 318,437,458,698,728

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

The LCM of 318,437,458,698,728 is 4042693813704.

Find LCM of 318,437,458,698,728 with Prime Factorization

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

2 x 159 x 437 x 229 x 349 x 364 = 4042693813704

Therefore, the lowest common multiple of 318,437,458,698,728 is 4042693813704.

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 437 x 458 x 698 x 728 = 32341550509632

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

437 : 1, 19, 23, 437

458 : 1, 2, 229, 458

698 : 1, 2, 349, 698

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,437,458,698,728, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

437:19x 23

458:2x 229

698:2x 349

728:2x 2x 2x 7x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32341550509632/(1x8)

LCM = 32341550509632/8

LCM = 4042693813704

Thus, we can understand that the LCM of 318,437,458,698,728 is 4042693813704.

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

• LCM of 414, 221, 275, 987, 518
• LCM of 668, 758, 379, 594, 918
• LCM of 407, 850, 735, 703, 611
• LCM of 185, 666, 360, 616, 448
• LCM of 288, 942, 831, 333, 666

1. What is the LCM of 318, 437, 458, 698, 728?

Answer: LCM of 318, 437, 458, 698, 728 is 4042693813704.

2. How to calculate the LCM of 318, 437, 458, 698, 728?

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, 437, 458, 698, 728.

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}.