Given numbers are 195,505,341,321

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

The LCM of 195,505,341,321 is 718611465.

Find LCM of 195,505,341,321 with Prime Factorization

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

3 x 5 x 13 x 101 x 341 x 107 = 718611465

Therefore, the lowest common multiple of 195,505,341,321 is 718611465.

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.

195 x 505 x 341 x 321 = 10779171975

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

505 : 1, 5, 101, 505

341 : 1, 11, 31, 341

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,505,341,321, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

505:5x 101

341:11x 31

321:3x 107

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 10779171975/(1x15)

LCM = 10779171975/15

LCM = 718611465

Thus, we can understand that the LCM of 195,505,341,321 is 718611465.

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

• LCM of 835, 339, 105, 869
• LCM of 909, 965, 665, 187
• LCM of 624, 441, 571, 668
• LCM of 199, 969, 790, 908
• LCM of 643, 710, 916, 309

1. What is the LCM of 195, 505, 341, 321?

Answer: LCM of 195, 505, 341, 321 is 718611465.

2. How to calculate the LCM of 195, 505, 341, 321?

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 195, 505, 341, 321.

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}.