Given numbers are 171,342,780,810

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

The LCM of 171,342,780,810 is 400140.

Find LCM of 171,342,780,810 with Prime Factorization

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

2 x 3 x 3 x 5 x 19 x 1 x 1 x 26 x 9 = 400140

Therefore, the lowest common multiple of 171,342,780,810 is 400140.

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.

171 x 342 x 780 x 810 = 36948927600

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.

171 : 1, 3, 9, 19, 57, 171

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,342,780,810, is 3.

Now, the common factors can be found like this.

171:3x 3x 19

342:2x 3x 3x 19

780:2x 2x 3x 5x 13

810:2x 3x 3x 3x 3x 5

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 3x 3x 3x 3x 5x 19 = 30780

Therefore, the value for common factors is 30780.

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 = 36948927600/(3x30780)

LCM = 36948927600/92340

LCM = 400140

Thus, we can understand that the LCM of 171,342,780,810 is 400140.

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

• LCM of 784, 614, 863, 321
• LCM of 739, 716, 212, 115
• LCM of 340, 606, 856, 708
• LCM of 330, 569, 135, 111
• LCM of 374, 149, 948, 321

1. What is the LCM of 171, 342, 780, 810?

Answer: LCM of 171, 342, 780, 810 is 400140.

2. How to calculate the LCM of 171, 342, 780, 810?

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 171, 342, 780, 810.

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}.