Given numbers are 340,293,407,208

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

The LCM of 340,293,407,208 is 2108357680.

Find LCM of 340,293,407,208 with Prime Factorization

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

2 x 2 x 85 x 293 x 407 x 52 = 2108357680

Therefore, the lowest common multiple of 340,293,407,208 is 2108357680.

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.

340 x 293 x 407 x 208 = 8433430720

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

293 : 1, 293

407 : 1, 11, 37, 407

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,293,407,208, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

293:293

407:11x 37

208:2x 2x 2x 2x 13

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 = 8433430720/(1x4)

LCM = 8433430720/4

LCM = 2108357680

Thus, we can understand that the LCM of 340,293,407,208 is 2108357680.

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

• LCM of 577, 488, 629, 412
• LCM of 186, 868, 940, 770
• LCM of 644, 693, 420, 499
• LCM of 318, 811, 597, 636
• LCM of 565, 734, 772, 385

1. What is the LCM of 340, 293, 407, 208?

Answer: LCM of 340, 293, 407, 208 is 2108357680.

2. How to calculate the LCM of 340, 293, 407, 208?

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 340, 293, 407, 208.

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}.