Given numbers are 486,21,298

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

The LCM of 486,21,298 is 506898.

Find LCM of 486,21,298 with Prime Factorization

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

2 x 3 x 81 x 7 x 149 = 506898

Therefore, the lowest common multiple of 486,21,298 is 506898.

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.

486 x 21 x 298 = 3041388

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

21 : 1, 3, 7, 21

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,21,298, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

21:3x 7

298:2x 149

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3041388/(1x6)

LCM = 3041388/6

LCM = 506898

Thus, we can understand that the LCM of 486,21,298 is 506898.

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

• LCM of 275, 54, 178
• LCM of 574, 27, 277
• LCM of 293, 94, 809
• LCM of 760, 42, 517
• LCM of 445, 19, 918

1. What is the LCM of 486, 21, 298?

Answer: LCM of 486, 21, 298 is 506898.

2. How to calculate the LCM of 486, 21, 298?

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 486, 21, 298.

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}.