Given numbers are 353,622,508,414

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

The LCM of 353,622,508,414 is 11544341148.

Find LCM of 353,622,508,414 with Prime Factorization

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

2 x 353 x 311 x 254 x 207 = 11544341148

Therefore, the lowest common multiple of 353,622,508,414 is 11544341148.

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.

353 x 622 x 508 x 414 = 46177364592

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.

353 : 1, 353

622 : 1, 2, 311, 622

508 : 1, 2, 4, 127, 254, 508

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,622,508,414, is 1.

Now, the common factors can be found like this.

353:353

622:2x 311

508:2x 2x 127

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 2 = 4

Therefore, the value for common factors is 4.

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 = 46177364592/(1x4)

LCM = 46177364592/4

LCM = 11544341148

Thus, we can understand that the LCM of 353,622,508,414 is 11544341148.

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

• LCM of 202, 590, 236, 779
• LCM of 460, 826, 866, 292
• LCM of 420, 991, 443, 754
• LCM of 896, 507, 723, 863
• LCM of 975, 911, 130, 385

1. What is the LCM of 353, 622, 508, 414?

Answer: LCM of 353, 622, 508, 414 is 11544341148.

2. How to calculate the LCM of 353, 622, 508, 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 353, 622, 508, 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}.