Given numbers are 112,455,726,920,489

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

The LCM of 112,455,726,920,489 is 9907257360.

Find LCM of 112,455,726,920,489 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 2 x 13 x 121 x 23 x 163 = 9907257360

Therefore, the lowest common multiple of 112,455,726,920,489 is 9907257360.

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.

112 x 455 x 726 x 920 x 489 = 16644192364800

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

455 : 1, 5, 7, 13, 35, 65, 91, 455

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,455,726,920,489, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

455:5x 7x 13

726:2x 3x 11x 11

920:2x 2x 2x 5x 23

489:3x 163

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 5x 7 = 1680

Therefore, the value for common factors is 1680.

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 = 16644192364800/(1x1680)

LCM = 16644192364800/1680

LCM = 9907257360

Thus, we can understand that the LCM of 112,455,726,920,489 is 9907257360.

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

• LCM of 670, 110, 914, 556, 183
• LCM of 594, 805, 617, 401, 360
• LCM of 495, 937, 911, 431, 905
• LCM of 594, 156, 757, 162, 549
• LCM of 326, 500, 614, 889, 535

1. What is the LCM of 112, 455, 726, 920, 489?

Answer: LCM of 112, 455, 726, 920, 489 is 9907257360.

2. How to calculate the LCM of 112, 455, 726, 920, 489?

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 112, 455, 726, 920, 489.

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}.