Given numbers are 460,546,366,724,414

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

The LCM of 460,546,366,724,414 is 4159586340.

Find LCM of 460,546,366,724,414 with Prime Factorization

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

2 x 2 x 3 x 23 x 5 x 91 x 61 x 181 x 3 = 4159586340

Therefore, the lowest common multiple of 460,546,366,724,414 is 4159586340.

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 546 x 366 x 724 x 414 = 27553099916160

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

366 : 1, 2, 3, 6, 61, 122, 183, 366

724 : 1, 2, 4, 181, 362, 724

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,546,366,724,414, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

546:2x 3x 7x 13

366:2x 3x 61

724:2x 2x 181

414:2x 3x 3x 23

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 23 = 3312

Therefore, the value for common factors is 3312.

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 = 27553099916160/(2x3312)

LCM = 27553099916160/6624

LCM = 4159586340

Thus, we can understand that the LCM of 460,546,366,724,414 is 4159586340.

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

• LCM of 645, 372, 700, 537, 794
• LCM of 940, 630, 117, 793, 614
• LCM of 485, 880, 140, 676, 411
• LCM of 534, 945, 719, 691, 541
• LCM of 249, 284, 321, 330, 277

1. What is the LCM of 460, 546, 366, 724, 414?

Answer: LCM of 460, 546, 366, 724, 414 is 4159586340.

2. How to calculate the LCM of 460, 546, 366, 724, 414?

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, 546, 366, 724, 414.

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}.