Given numbers are 829,858,514,466

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

The LCM of 829,858,514,466 is 42592277442.

Find LCM of 829,858,514,466 with Prime Factorization

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

2 x 829 x 429 x 257 x 233 = 42592277442

Therefore, the lowest common multiple of 829,858,514,466 is 42592277442.

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.

829 x 858 x 514 x 466 = 170369109768

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.

829 : 1, 829

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

514 : 1, 2, 257, 514

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,858,514,466, is 1.

Now, the common factors can be found like this.

829:829

858:2x 3x 11x 13

514:2x 257

466:2x 233

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 = 170369109768/(1x4)

LCM = 170369109768/4

LCM = 42592277442

Thus, we can understand that the LCM of 829,858,514,466 is 42592277442.

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

• LCM of 417, 505, 201, 963
• LCM of 172, 598, 250, 902
• LCM of 806, 159, 741, 572
• LCM of 490, 684, 614, 108
• LCM of 243, 353, 985, 465

1. What is the LCM of 829, 858, 514, 466?

Answer: LCM of 829, 858, 514, 466 is 42592277442.

2. How to calculate the LCM of 829, 858, 514, 466?

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 829, 858, 514, 466.

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}.