Given numbers are 123,255,287

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

The LCM of 123,255,287 is 73185.

Find LCM of 123,255,287 with Prime Factorization

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

3 x 41 x 1 x 85 x 7 = 73185

Therefore, the lowest common multiple of 123,255,287 is 73185.

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.

123 x 255 x 287 = 9001755

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.

123 : 1, 3, 41, 123

255 : 1, 3, 5, 15, 17, 51, 85, 255

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,255,287, is 1.

Now, the common factors can be found like this.

123:3x 41

255:3x 5x 17

287:7x 41

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

3x 41 = 123

Therefore, the value for common factors is 123.

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 = 9001755/(1x123)

LCM = 9001755/123

LCM = 73185

Thus, we can understand that the LCM of 123,255,287 is 73185.

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

• LCM of 545, 198, 860
• LCM of 671, 388, 314
• LCM of 572, 343, 573
• LCM of 576, 994, 696
• LCM of 677, 150, 888

1. What is the LCM of 123, 255, 287?

Answer: LCM of 123, 255, 287 is 73185.

2. How to calculate the LCM of 123, 255, 287?

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 123, 255, 287.

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}.