Given numbers are 297,75,249

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

The LCM of 297,75,249 is 616275.

Find LCM of 297,75,249 with Prime Factorization

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

3 x 99 x 25 x 83 = 616275

Therefore, the lowest common multiple of 297,75,249 is 616275.

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.

297 x 75 x 249 = 5546475

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

75 : 1, 3, 5, 15, 25, 75

249 : 1, 3, 83, 249

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,75,249, is 3.

Now, the common factors can be found like this.

297:3x 3x 3x 11

75:3x 5x 5

249:3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 5546475/(3x3)

LCM = 5546475/9

LCM = 616275

Thus, we can understand that the LCM of 297,75,249 is 616275.

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

• LCM of 651, 99, 580
• LCM of 425, 27, 302
• LCM of 234, 23, 105
• LCM of 921, 57, 498
• LCM of 958, 61, 404

1. What is the LCM of 297, 75, 249?

Answer: LCM of 297, 75, 249 is 616275.

2. How to calculate the LCM of 297, 75, 249?

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 297, 75, 249.

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}.