Given numbers are 285,281,723

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

The LCM of 285,281,723 is 19300485.

Find LCM of 285,281,723 with Prime Factorization

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

3 x 95 x 281 x 241 = 19300485

Therefore, the lowest common multiple of 285,281,723 is 19300485.

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.

285 x 281 x 723 = 57901455

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

281 : 1, 281

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,281,723, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

281:281

723:3x 241

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 = 57901455/(1x3)

LCM = 57901455/3

LCM = 19300485

Thus, we can understand that the LCM of 285,281,723 is 19300485.

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

• LCM of 190, 354, 931
• LCM of 263, 988, 262
• LCM of 454, 880, 726
• LCM of 442, 629, 766
• LCM of 532, 795, 957

1. What is the LCM of 285, 281, 723?

Answer: LCM of 285, 281, 723 is 19300485.

2. How to calculate the LCM of 285, 281, 723?

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 285, 281, 723.

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}.