Given numbers are 214,321,728,788,278

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

The LCM of 214,321,728,788,278 is 6399078504.

Find LCM of 214,321,728,788,278 with Prime Factorization

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

2 x 2 x 107 x 1 x 3 x 182 x 197 x 139 = 6399078504

Therefore, the lowest common multiple of 214,321,728,788,278 is 6399078504.

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.

214 x 321 x 728 x 788 x 278 = 10955222398848

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.

214 : 1, 2, 107, 214

321 : 1, 3, 107, 321

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

788 : 1, 2, 4, 197, 394, 788

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,321,728,788,278, is 1.

Now, the common factors can be found like this.

214:2x 107

321:3x 107

728:2x 2x 2x 7x 13

788:2x 2x 197

278:2x 139

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 107 = 1712

Therefore, the value for common factors is 1712.

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 = 10955222398848/(1x1712)

LCM = 10955222398848/1712

LCM = 6399078504

Thus, we can understand that the LCM of 214,321,728,788,278 is 6399078504.

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

• LCM of 508, 995, 442, 792, 620
• LCM of 397, 588, 364, 791, 646
• LCM of 546, 426, 741, 703, 932
• LCM of 219, 220, 783, 160, 829
• LCM of 348, 416, 662, 144, 106

1. What is the LCM of 214, 321, 728, 788, 278?

Answer: LCM of 214, 321, 728, 788, 278 is 6399078504.

2. How to calculate the LCM of 214, 321, 728, 788, 278?

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 214, 321, 728, 788, 278.

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}.