Given numbers are 826,15,230

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

The LCM of 826,15,230 is 284970.

Find LCM of 826,15,230 with Prime Factorization

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

2 x 5 x 413 x 3 x 23 = 284970

Therefore, the lowest common multiple of 826,15,230 is 284970.

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.

826 x 15 x 230 = 2849700

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

15 : 1, 3, 5, 15

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,15,230, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

15:3x 5

230:2x 5x 23

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 2849700/(1x10)

LCM = 2849700/10

LCM = 284970

Thus, we can understand that the LCM of 826,15,230 is 284970.

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

• LCM of 641, 49, 392
• LCM of 896, 31, 942
• LCM of 800, 90, 606
• LCM of 531, 47, 386
• LCM of 167, 91, 809

1. What is the LCM of 826, 15, 230?

Answer: LCM of 826, 15, 230 is 284970.

2. How to calculate the LCM of 826, 15, 230?

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 826, 15, 230.

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}.