Given numbers are 460,759,125,114,480

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

The LCM of 460,759,125,114,480 is 57684000.

Find LCM of 460,759,125,114,480 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 1 x 11 x 25 x 19 x 8 = 57684000

Therefore, the lowest common multiple of 460,759,125,114,480 is 57684000.

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 759 x 125 x 114 x 480 = 2388117600000

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

125 : 1, 5, 25, 125

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,759,125,114,480, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

759:3x 11x 23

125:5x 5x 5

114:2x 3x 19

480:2x 2x 2x 2x 2x 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 2x 3x 3x 5x 5x 23 = 41400

Therefore, the value for common factors is 41400.

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 = 2388117600000/(1x41400)

LCM = 2388117600000/41400

LCM = 57684000

Thus, we can understand that the LCM of 460,759,125,114,480 is 57684000.

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

• LCM of 418, 517, 905, 676, 881
• LCM of 149, 461, 215, 769, 362
• LCM of 978, 420, 950, 485, 949
• LCM of 355, 554, 353, 891, 610
• LCM of 801, 310, 674, 422, 947

1. What is the LCM of 460, 759, 125, 114, 480?

Answer: LCM of 460, 759, 125, 114, 480 is 57684000.

2. How to calculate the LCM of 460, 759, 125, 114, 480?

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, 759, 125, 114, 480.

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}.