Given numbers are 230,610,396,472,716

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

The LCM of 230,610,396,472,716 is 58675648680.

Find LCM of 230,610,396,472,716 with Prime Factorization

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

2 x 2 x 5 x 23 x 61 x 99 x 118 x 179 = 58675648680

Therefore, the lowest common multiple of 230,610,396,472,716 is 58675648680.

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.

230 x 610 x 396 x 472 x 716 = 18776207577600

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

610 : 1, 2, 5, 10, 61, 122, 305, 610

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

472 : 1, 2, 4, 8, 59, 118, 236, 472

716 : 1, 2, 4, 179, 358, 716

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,610,396,472,716, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

610:2x 5x 61

396:2x 2x 3x 3x 11

472:2x 2x 2x 59

716:2x 2x 179

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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 18776207577600/(2x160)

LCM = 18776207577600/320

LCM = 58675648680

Thus, we can understand that the LCM of 230,610,396,472,716 is 58675648680.

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

• LCM of 694, 705, 412, 220, 898
• LCM of 742, 929, 494, 577, 692
• LCM of 792, 702, 640, 285, 652
• LCM of 770, 496, 727, 448, 671
• LCM of 149, 931, 566, 127, 101

1. What is the LCM of 230, 610, 396, 472, 716?

Answer: LCM of 230, 610, 396, 472, 716 is 58675648680.

2. How to calculate the LCM of 230, 610, 396, 472, 716?

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 230, 610, 396, 472, 716.

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}.