Given numbers are 605,352,268,242,340

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

The LCM of 605,352,268,242,340 is 22051040.

Find LCM of 605,352,268,242,340 with Prime Factorization

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

2 x 2 x 5 x 11 x 11 x 1 x 8 x 67 x 1 x 17 = 22051040

Therefore, the lowest common multiple of 605,352,268,242,340 is 22051040.

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.

605 x 352 x 268 x 242 x 340 = 4695989478400

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.

605 : 1, 5, 11, 55, 121, 605

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

268 : 1, 2, 4, 67, 134, 268

242 : 1, 2, 11, 22, 121, 242

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,352,268,242,340, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

352:2x 2x 2x 2x 2x 11

268:2x 2x 67

242:2x 11x 11

340:2x 2x 5x 17

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 11x 11x 11 = 212960

Therefore, the value for common factors is 212960.

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 = 4695989478400/(1x212960)

LCM = 4695989478400/212960

LCM = 22051040

Thus, we can understand that the LCM of 605,352,268,242,340 is 22051040.

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

• LCM of 676, 218, 587, 967, 850
• LCM of 450, 391, 787, 671, 720
• LCM of 150, 917, 290, 619, 852
• LCM of 499, 342, 455, 735, 479
• LCM of 939, 680, 805, 465, 524

1. What is the LCM of 605, 352, 268, 242, 340?

Answer: LCM of 605, 352, 268, 242, 340 is 22051040.

2. How to calculate the LCM of 605, 352, 268, 242, 340?

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 605, 352, 268, 242, 340.

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}.