Given numbers are 345,368,605,305

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

The LCM of 345,368,605,305 is 40743120.

Find LCM of 345,368,605,305 with Prime Factorization

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

5 x 23 x 3 x 16 x 121 x 61 = 40743120

Therefore, the lowest common multiple of 345,368,605,305 is 40743120.

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.

345 x 368 x 605 x 305 = 23427294000

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,368,605,305, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

368:2x 2x 2x 2x 23

605:5x 11x 11

305:5x 61

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 23427294000/(1x575)

LCM = 23427294000/575

LCM = 40743120

Thus, we can understand that the LCM of 345,368,605,305 is 40743120.

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

• LCM of 225, 161, 676, 856
• LCM of 748, 491, 934, 961
• LCM of 836, 866, 886, 322
• LCM of 619, 578, 365, 645
• LCM of 254, 786, 971, 761

1. What is the LCM of 345, 368, 605, 305?

Answer: LCM of 345, 368, 605, 305 is 40743120.

2. How to calculate the LCM of 345, 368, 605, 305?

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 345, 368, 605, 305.

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}.