Given numbers are 214,424,414,117

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

The LCM of 214,424,414,117 is 122085288.

Find LCM of 214,424,414,117 with Prime Factorization

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

2 x 3 x 3 x 107 x 212 x 23 x 13 = 122085288

Therefore, the lowest common multiple of 214,424,414,117 is 122085288.

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 424 x 414 x 117 = 4395070368

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,424,414,117, is 1.

Now, the common factors can be found like this.

214:2x 107

424:2x 2x 2x 53

414:2x 3x 3x 23

117:3x 3x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 4395070368/(1x36)

LCM = 4395070368/36

LCM = 122085288

Thus, we can understand that the LCM of 214,424,414,117 is 122085288.

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

• LCM of 584, 492, 212, 465
• LCM of 404, 315, 935, 249
• LCM of 790, 995, 551, 800
• LCM of 710, 269, 123, 735
• LCM of 899, 512, 544, 240

1. What is the LCM of 214, 424, 414, 117?

Answer: LCM of 214, 424, 414, 117 is 122085288.

2. How to calculate the LCM of 214, 424, 414, 117?

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, 424, 414, 117.

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}.