Given numbers are 810,710,180,495,235

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

The LCM of 810,710,180,495,235 is 59465340.

Find LCM of 810,710,180,495,235 with Prime Factorization

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

2 x 3 x 3 x 5 x 9 x 71 x 2 x 11 x 47 = 59465340

Therefore, the lowest common multiple of 810,710,180,495,235 is 59465340.

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.

810 x 710 x 180 x 495 x 235 = 12041731350000

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.

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

710 : 1, 2, 5, 10, 71, 142, 355, 710

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

235 : 1, 5, 47, 235

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,710,180,495,235, is 5.

Now, the common factors can be found like this.

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

710:2x 5x 71

180:2x 2x 3x 3x 5

495:3x 3x 5x 11

235:5x 47

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 5x 5 = 40500

Therefore, the value for common factors is 40500.

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 = 12041731350000/(5x40500)

LCM = 12041731350000/202500

LCM = 59465340

Thus, we can understand that the LCM of 810,710,180,495,235 is 59465340.

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

• LCM of 285, 606, 747, 130, 695
• LCM of 816, 618, 426, 536, 105
• LCM of 422, 535, 610, 248, 888
• LCM of 178, 476, 170, 250, 372
• LCM of 612, 426, 571, 815, 563

1. What is the LCM of 810, 710, 180, 495, 235?

Answer: LCM of 810, 710, 180, 495, 235 is 59465340.

2. How to calculate the LCM of 810, 710, 180, 495, 235?

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 810, 710, 180, 495, 235.

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}.