Given numbers are 867,270,723

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

The LCM of 867,270,723 is 18805230.

Find LCM of 867,270,723 with Prime Factorization

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

3 x 289 x 90 x 241 = 18805230

Therefore, the lowest common multiple of 867,270,723 is 18805230.

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.

867 x 270 x 723 = 169247070

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.

867 : 1, 3, 17, 51, 289, 867

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

723 : 1, 3, 241, 723

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,270,723, is 3.

Now, the common factors can be found like this.

867:3x 17x 17

270:2x 3x 3x 3x 5

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 = 169247070/(3x3)

LCM = 169247070/9

LCM = 18805230

Thus, we can understand that the LCM of 867,270,723 is 18805230.

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

• LCM of 394, 980, 602
• LCM of 111, 122, 598
• LCM of 303, 861, 466
• LCM of 320, 201, 176
• LCM of 696, 794, 171

1. What is the LCM of 867, 270, 723?

Answer: LCM of 867, 270, 723 is 18805230.

2. How to calculate the LCM of 867, 270, 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 867, 270, 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}.