Given numbers are 195,452,504,726,486

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

The LCM of 195,452,504,726,486 is 12094041960.

Find LCM of 195,452,504,726,486 with Prime Factorization

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

2 x 2 x 3 x 3 x 65 x 113 x 14 x 121 x 27 = 12094041960

Therefore, the lowest common multiple of 195,452,504,726,486 is 12094041960.

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 452 x 504 x 726 x 486 = 15673878380160

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

452 : 1, 2, 4, 113, 226, 452

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,452,504,726,486, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

452:2x 2x 113

504:2x 2x 2x 3x 3x 7

726:2x 3x 11x 11

486:2x 3x 3x 3x 3x 3

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 15673878380160/(1x1296)

LCM = 15673878380160/1296

LCM = 12094041960

Thus, we can understand that the LCM of 195,452,504,726,486 is 12094041960.

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

• LCM of 323, 383, 522, 951, 825
• LCM of 207, 144, 570, 611, 238
• LCM of 710, 712, 874, 230, 862
• LCM of 372, 318, 959, 245, 460
• LCM of 700, 542, 835, 815, 980

1. What is the LCM of 195, 452, 504, 726, 486?

Answer: LCM of 195, 452, 504, 726, 486 is 12094041960.

2. How to calculate the LCM of 195, 452, 504, 726, 486?

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, 452, 504, 726, 486.

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}.