Given numbers are 214,382,116,268,590

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

The LCM of 214,382,116,268,590 is 46856727380.

Find LCM of 214,382,116,268,590 with Prime Factorization

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

2 x 2 x 107 x 191 x 29 x 67 x 295 = 46856727380

Therefore, the lowest common multiple of 214,382,116,268,590 is 46856727380.

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 382 x 116 x 268 x 590 = 1499415276160

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

382 : 1, 2, 191, 382

116 : 1, 2, 4, 29, 58, 116

268 : 1, 2, 4, 67, 134, 268

590 : 1, 2, 5, 10, 59, 118, 295, 590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,382,116,268,590, is 2.

Now, the common factors can be found like this.

214:2x 107

382:2x 191

116:2x 2x 29

268:2x 2x 67

590:2x 5x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1499415276160/(2x16)

LCM = 1499415276160/32

LCM = 46856727380

Thus, we can understand that the LCM of 214,382,116,268,590 is 46856727380.

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

• LCM of 317, 681, 599, 955, 743
• LCM of 639, 821, 887, 272, 816
• LCM of 937, 597, 460, 469, 467
• LCM of 198, 141, 935, 346, 335
• LCM of 743, 647, 824, 992, 309

1. What is the LCM of 214, 382, 116, 268, 590?

Answer: LCM of 214, 382, 116, 268, 590 is 46856727380.

2. How to calculate the LCM of 214, 382, 116, 268, 590?

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, 382, 116, 268, 590.

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}.