Given numbers are 505,680,349,365

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

The LCM of 505,680,349,365 is 1749760360.

Find LCM of 505,680,349,365 with Prime Factorization

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

5 x 101 x 136 x 349 x 73 = 1749760360

Therefore, the lowest common multiple of 505,680,349,365 is 1749760360.

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.

505 x 680 x 349 x 365 = 43744009000

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.

505 : 1, 5, 101, 505

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

349 : 1, 349

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,680,349,365, is 1.

Now, the common factors can be found like this.

505:5x 101

680:2x 2x 2x 5x 17

349:349

365:5x 73

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 43744009000/(1x25)

LCM = 43744009000/25

LCM = 1749760360

Thus, we can understand that the LCM of 505,680,349,365 is 1749760360.

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

• LCM of 315, 280, 117, 419
• LCM of 259, 441, 598, 244
• LCM of 782, 221, 398, 247
• LCM of 154, 765, 195, 995
• LCM of 839, 372, 780, 462

1. What is the LCM of 505, 680, 349, 365?

Answer: LCM of 505, 680, 349, 365 is 1749760360.

2. How to calculate the LCM of 505, 680, 349, 365?

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 505, 680, 349, 365.

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}.