Given numbers are 379,354,283,106,214

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

The LCM of 379,354,283,106,214 is 215322074238.

Find LCM of 379,354,283,106,214 with Prime Factorization

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

2 x 379 x 177 x 283 x 53 x 107 = 215322074238

Therefore, the lowest common multiple of 379,354,283,106,214 is 215322074238.

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.

379 x 354 x 283 x 106 x 214 = 861288296952

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.

379 : 1, 379

354 : 1, 2, 3, 6, 59, 118, 177, 354

283 : 1, 283

106 : 1, 2, 53, 106

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,354,283,106,214, is 1.

Now, the common factors can be found like this.

379:379

354:2x 3x 59

283:283

106:2x 53

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 2 = 4

Therefore, the value for common factors is 4.

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 = 861288296952/(1x4)

LCM = 861288296952/4

LCM = 215322074238

Thus, we can understand that the LCM of 379,354,283,106,214 is 215322074238.

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

• LCM of 883, 677, 398, 721, 330
• LCM of 656, 944, 311, 843, 334
• LCM of 923, 293, 588, 228, 771
• LCM of 125, 816, 635, 645, 327
• LCM of 392, 595, 278, 588, 210

1. What is the LCM of 379, 354, 283, 106, 214?

Answer: LCM of 379, 354, 283, 106, 214 is 215322074238.

2. How to calculate the LCM of 379, 354, 283, 106, 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 379, 354, 283, 106, 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}.