Given numbers are 338,688,273,440,290

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

The LCM of 338,688,273,440,290 is 3894530640.

Find LCM of 338,688,273,440,290 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 13 x 86 x 21 x 11 x 29 = 3894530640

Therefore, the lowest common multiple of 338,688,273,440,290 is 3894530640.

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.

338 x 688 x 273 x 440 x 290 = 8100623731200

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.

338 : 1, 2, 13, 26, 169, 338

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

273 : 1, 3, 7, 13, 21, 39, 91, 273

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,688,273,440,290, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

688:2x 2x 2x 2x 43

273:3x 7x 13

440:2x 2x 2x 5x 11

290:2x 5x 29

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 2x 2x 5x 13 = 2080

Therefore, the value for common factors is 2080.

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 = 8100623731200/(1x2080)

LCM = 8100623731200/2080

LCM = 3894530640

Thus, we can understand that the LCM of 338,688,273,440,290 is 3894530640.

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

• LCM of 854, 331, 899, 201, 227
• LCM of 337, 373, 909, 677, 134
• LCM of 481, 825, 828, 200, 805
• LCM of 562, 261, 714, 892, 331
• LCM of 552, 182, 890, 599, 822

1. What is the LCM of 338, 688, 273, 440, 290?

Answer: LCM of 338, 688, 273, 440, 290 is 3894530640.

2. How to calculate the LCM of 338, 688, 273, 440, 290?

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 338, 688, 273, 440, 290.

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}.