Given numbers are 460,860,990,705,114

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

The LCM of 460,860,990,705,114 is 1748690460.

Find LCM of 460,860,990,705,114 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 43 x 33 x 47 x 19 = 1748690460

Therefore, the lowest common multiple of 460,860,990,705,114 is 1748690460.

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.

460 x 860 x 990 x 705 x 114 = 31476428280000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

705 : 1, 3, 5, 15, 47, 141, 235, 705

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,860,990,705,114, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

860:2x 2x 5x 43

990:2x 3x 3x 5x 11

705:3x 5x 47

114:2x 3x 19

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 5x 5x 5 = 18000

Therefore, the value for common factors is 18000.

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 = 31476428280000/(1x18000)

LCM = 31476428280000/18000

LCM = 1748690460

Thus, we can understand that the LCM of 460,860,990,705,114 is 1748690460.

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

• LCM of 131, 360, 377, 615, 428
• LCM of 382, 234, 688, 963, 355
• LCM of 657, 507, 197, 768, 694
• LCM of 164, 505, 132, 474, 694
• LCM of 786, 194, 203, 947, 467

1. What is the LCM of 460, 860, 990, 705, 114?

Answer: LCM of 460, 860, 990, 705, 114 is 1748690460.

2. How to calculate the LCM of 460, 860, 990, 705, 114?

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 460, 860, 990, 705, 114.

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}.