Given numbers are 407,741,514,680,364

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

The LCM of 407,741,514,680,364 is 368937408840.

Find LCM of 407,741,514,680,364 with Prime Factorization

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

2 x 2 x 13 x 407 x 57 x 257 x 170 x 7 = 368937408840

Therefore, the lowest common multiple of 407,741,514,680,364 is 368937408840.

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.

407 x 741 x 514 x 680 x 364 = 38369490519360

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.

407 : 1, 11, 37, 407

741 : 1, 3, 13, 19, 39, 57, 247, 741

514 : 1, 2, 257, 514

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,741,514,680,364, is 1.

Now, the common factors can be found like this.

407:11x 37

741:3x 13x 19

514:2x 257

680:2x 2x 2x 5x 17

364:2x 2x 7x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 38369490519360/(1x104)

LCM = 38369490519360/104

LCM = 368937408840

Thus, we can understand that the LCM of 407,741,514,680,364 is 368937408840.

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

• LCM of 701, 937, 256, 695, 846
• LCM of 953, 267, 162, 503, 524
• LCM of 882, 596, 487, 836, 510
• LCM of 737, 219, 170, 369, 862
• LCM of 398, 813, 824, 357, 345

1. What is the LCM of 407, 741, 514, 680, 364?

Answer: LCM of 407, 741, 514, 680, 364 is 368937408840.

2. How to calculate the LCM of 407, 741, 514, 680, 364?

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 407, 741, 514, 680, 364.

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}.