Given numbers are 117,442,336,202,214

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

The LCM of 117,442,336,202,214 is 2407453776.

Find LCM of 117,442,336,202,214 with Prime Factorization

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

2 x 3 x 13 x 3 x 17 x 56 x 101 x 107 = 2407453776

Therefore, the lowest common multiple of 117,442,336,202,214 is 2407453776.

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.

117 x 442 x 336 x 202 x 214 = 751125578112

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.

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

202 : 1, 2, 101, 202

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,442,336,202,214, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

442:2x 13x 17

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

202:2x 101

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 751125578112/(1x312)

LCM = 751125578112/312

LCM = 2407453776

Thus, we can understand that the LCM of 117,442,336,202,214 is 2407453776.

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

• LCM of 828, 455, 351, 491, 636
• LCM of 613, 295, 871, 116, 126
• LCM of 794, 887, 657, 385, 353
• LCM of 299, 105, 912, 385, 816
• LCM of 569, 551, 251, 552, 776

1. What is the LCM of 117, 442, 336, 202, 214?

Answer: LCM of 117, 442, 336, 202, 214 is 2407453776.

2. How to calculate the LCM of 117, 442, 336, 202, 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 117, 442, 336, 202, 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}.