Given numbers are 464,816,365,250,214

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

The LCM of 464,816,365,250,214 is 23104938000.

Find LCM of 464,816,365,250,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 29 x 51 x 73 x 25 x 107 = 23104938000

Therefore, the lowest common multiple of 464,816,365,250,214 is 23104938000.

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.

464 x 816 x 365 x 250 x 214 = 7393580160000

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

365 : 1, 5, 73, 365

250 : 1, 2, 5, 10, 25, 50, 125, 250

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,816,365,250,214, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

816:2x 2x 2x 2x 3x 17

365:5x 73

250:2x 5x 5x 5

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 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 7393580160000/(1x320)

LCM = 7393580160000/320

LCM = 23104938000

Thus, we can understand that the LCM of 464,816,365,250,214 is 23104938000.

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

• LCM of 283, 288, 523, 996, 912
• LCM of 422, 692, 838, 374, 865
• LCM of 644, 562, 637, 231, 577
• LCM of 796, 137, 976, 688, 339
• LCM of 328, 565, 557, 752, 696

1. What is the LCM of 464, 816, 365, 250, 214?

Answer: LCM of 464, 816, 365, 250, 214 is 23104938000.

2. How to calculate the LCM of 464, 816, 365, 250, 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 464, 816, 365, 250, 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}.