Given numbers are 343,442,414,431,616

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

The LCM of 343,442,414,431,616 is 595136630088.

Find LCM of 343,442,414,431,616 with Prime Factorization

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

2 x 7 x 49 x 221 x 207 x 431 x 44 = 595136630088

Therefore, the lowest common multiple of 343,442,414,431,616 is 595136630088.

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.

343 x 442 x 414 x 431 x 616 = 16663825642464

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.

343 : 1, 7, 49, 343

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

431 : 1, 431

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,442,414,431,616, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

442:2x 13x 17

414:2x 3x 3x 23

431:431

616:2x 2x 2x 7x 11

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 7 = 28

Therefore, the value for common factors is 28.

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 = 16663825642464/(1x28)

LCM = 16663825642464/28

LCM = 595136630088

Thus, we can understand that the LCM of 343,442,414,431,616 is 595136630088.

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

• LCM of 623, 314, 664, 775, 149
• LCM of 832, 362, 786, 155, 197
• LCM of 919, 935, 997, 603, 557
• LCM of 335, 314, 991, 610, 386
• LCM of 380, 754, 846, 928, 822

1. What is the LCM of 343, 442, 414, 431, 616?

Answer: LCM of 343, 442, 414, 431, 616 is 595136630088.

2. How to calculate the LCM of 343, 442, 414, 431, 616?

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 343, 442, 414, 431, 616.

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}.