Given numbers are 300,326,578

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

The LCM of 300,326,578 is 14132100.

Find LCM of 300,326,578 with Prime Factorization

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

2 x 150 x 163 x 289 = 14132100

Therefore, the lowest common multiple of 300,326,578 is 14132100.

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 326 x 578 = 56528400

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

326 : 1, 2, 163, 326

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,326,578, is 2.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

326:2x 163

578:2x 17x 17

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 = 56528400/(2x2)

LCM = 56528400/4

LCM = 14132100

Thus, we can understand that the LCM of 300,326,578 is 14132100.

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

• LCM of 862, 534, 608
• LCM of 375, 392, 249
• LCM of 481, 661, 437
• LCM of 913, 864, 695
• LCM of 464, 196, 597

1. What is the LCM of 300, 326, 578?

Answer: LCM of 300, 326, 578 is 14132100.

2. How to calculate the LCM of 300, 326, 578?

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, 326, 578.

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}.