Given numbers are 407,704,340,343,772

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

The LCM of 407,704,340,343,772 is 146569881920.

Find LCM of 407,704,340,343,772 with Prime Factorization

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

2 x 2 x 11 x 37 x 16 x 85 x 343 x 193 = 146569881920

Therefore, the lowest common multiple of 407,704,340,343,772 is 146569881920.

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 704 x 340 x 343 x 772 = 25796299217920

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

343 : 1, 7, 49, 343

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,704,340,343,772, is 1.

Now, the common factors can be found like this.

407:11x 37

704:2x 2x 2x 2x 2x 2x 11

340:2x 2x 5x 17

343:7x 7x 7

772:2x 2x 193

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 11 = 176

Therefore, the value for common factors is 176.

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 = 25796299217920/(1x176)

LCM = 25796299217920/176

LCM = 146569881920

Thus, we can understand that the LCM of 407,704,340,343,772 is 146569881920.

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

• LCM of 446, 346, 815, 772, 341
• LCM of 497, 920, 798, 427, 667
• LCM of 803, 758, 284, 407, 659
• LCM of 113, 491, 400, 385, 387
• LCM of 357, 190, 873, 604, 198

1. What is the LCM of 407, 704, 340, 343, 772?

Answer: LCM of 407, 704, 340, 343, 772 is 146569881920.

2. How to calculate the LCM of 407, 704, 340, 343, 772?

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, 704, 340, 343, 772.

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}.