Given numbers are 300,827,466

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

The LCM of 300,827,466 is 57807300.

Find LCM of 300,827,466 with Prime Factorization

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

2 x 150 x 827 x 233 = 57807300

Therefore, the lowest common multiple of 300,827,466 is 57807300.

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.

300 x 827 x 466 = 115614600

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

827 : 1, 827

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,827,466, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

827:827

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 115614600/(1x2)

LCM = 115614600/2

LCM = 57807300

Thus, we can understand that the LCM of 300,827,466 is 57807300.

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

• LCM of 757, 812, 299
• LCM of 711, 551, 265
• LCM of 593, 895, 608
• LCM of 405, 751, 171
• LCM of 868, 723, 545

1. What is the LCM of 300, 827, 466?

Answer: LCM of 300, 827, 466 is 57807300.

2. How to calculate the LCM of 300, 827, 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 300, 827, 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}.