Given numbers are 416,466,128,343

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

The LCM of 416,466,128,343 is 132985216.

Find LCM of 416,466,128,343 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 13 x 233 x 4 x 343 = 132985216

Therefore, the lowest common multiple of 416,466,128,343 is 132985216.

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.

416 x 466 x 128 x 343 = 8511053824

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

466 : 1, 2, 233, 466

128 : 1, 2, 4, 8, 16, 32, 64, 128

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,466,128,343, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

466:2x 233

128:2x 2x 2x 2x 2x 2x 2

343:7x 7x 7

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 8511053824/(1x64)

LCM = 8511053824/64

LCM = 132985216

Thus, we can understand that the LCM of 416,466,128,343 is 132985216.

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

• LCM of 613, 679, 264, 142
• LCM of 325, 923, 801, 422
• LCM of 687, 640, 397, 545
• LCM of 352, 647, 319, 788
• LCM of 500, 779, 212, 268

1. What is the LCM of 416, 466, 128, 343?

Answer: LCM of 416, 466, 128, 343 is 132985216.

2. How to calculate the LCM of 416, 466, 128, 343?

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 416, 466, 128, 343.

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}.