Given numbers are 199,782,365,217,341

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

The LCM of 199,782,365,217,341 is 135582960590.

Find LCM of 199,782,365,217,341 with Prime Factorization

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

31 x 199 x 782 x 365 x 7 x 11 = 135582960590

Therefore, the lowest common multiple of 199,782,365,217,341 is 135582960590.

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.

199 x 782 x 365 x 217 x 341 = 4203071778290

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.

199 : 1, 199

782 : 1, 2, 17, 23, 34, 46, 391, 782

365 : 1, 5, 73, 365

217 : 1, 7, 31, 217

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,782,365,217,341, is 1.

Now, the common factors can be found like this.

199:199

782:2x 17x 23

365:5x 73

217:7x 31

341:11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

31 = 31

Therefore, the value for common factors is 31.

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 = 4203071778290/(1x31)

LCM = 4203071778290/31

LCM = 135582960590

Thus, we can understand that the LCM of 199,782,365,217,341 is 135582960590.

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

• LCM of 216, 435, 125, 353, 268
• LCM of 195, 505, 272, 563, 173
• LCM of 995, 134, 337, 143, 760
• LCM of 947, 354, 608, 283, 212
• LCM of 202, 184, 435, 287, 795

1. What is the LCM of 199, 782, 365, 217, 341?

Answer: LCM of 199, 782, 365, 217, 341 is 135582960590.

2. How to calculate the LCM of 199, 782, 365, 217, 341?

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 199, 782, 365, 217, 341.

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}.