Given numbers are 466,606,750,728,336

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

The LCM of 466,606,750,728,336 is 12849018000.

Find LCM of 466,606,750,728,336 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 233 x 101 x 125 x 13 x 2 = 12849018000

Therefore, the lowest common multiple of 466,606,750,728,336 is 12849018000.

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.

466 x 606 x 750 x 728 x 336 = 51807240576000

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.

466 : 1, 2, 233, 466

606 : 1, 2, 3, 6, 101, 202, 303, 606

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,606,750,728,336, is 2.

Now, the common factors can be found like this.

466:2x 233

606:2x 3x 101

750:2x 3x 5x 5x 5

728:2x 2x 2x 7x 13

336:2x 2x 2x 2x 3x 7

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 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 51807240576000/(2x2016)

LCM = 51807240576000/4032

LCM = 12849018000

Thus, we can understand that the LCM of 466,606,750,728,336 is 12849018000.

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

• LCM of 896, 981, 480, 645, 981
• LCM of 619, 810, 463, 488, 412
• LCM of 134, 556, 493, 200, 366
• LCM of 801, 420, 555, 271, 820
• LCM of 274, 763, 749, 426, 994

1. What is the LCM of 466, 606, 750, 728, 336?

Answer: LCM of 466, 606, 750, 728, 336 is 12849018000.

2. How to calculate the LCM of 466, 606, 750, 728, 336?

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 466, 606, 750, 728, 336.

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}.