Given numbers are 366,214,186,674,436

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

The LCM of 366,214,186,674,436 is 89189340252.

Find LCM of 366,214,186,674,436 with Prime Factorization

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

2 x 3 x 61 x 107 x 31 x 337 x 218 = 89189340252

Therefore, the lowest common multiple of 366,214,186,674,436 is 89189340252.

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.

366 x 214 x 186 x 674 x 436 = 4281088332096

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

214 : 1, 2, 107, 214

186 : 1, 2, 3, 6, 31, 62, 93, 186

674 : 1, 2, 337, 674

436 : 1, 2, 4, 109, 218, 436

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,214,186,674,436, is 2.

Now, the common factors can be found like this.

366:2x 3x 61

214:2x 107

186:2x 3x 31

674:2x 337

436:2x 2x 109

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4281088332096/(2x24)

LCM = 4281088332096/48

LCM = 89189340252

Thus, we can understand that the LCM of 366,214,186,674,436 is 89189340252.

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

• LCM of 449, 354, 972, 783, 444
• LCM of 758, 189, 380, 995, 927
• LCM of 434, 374, 696, 291, 802
• LCM of 816, 866, 660, 855, 806
• LCM of 675, 481, 394, 673, 202

1. What is the LCM of 366, 214, 186, 674, 436?

Answer: LCM of 366, 214, 186, 674, 436 is 89189340252.

2. How to calculate the LCM of 366, 214, 186, 674, 436?

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 366, 214, 186, 674, 436.

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}.