Given numbers are 461,219,489

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

The LCM of 461,219,489 is 16456317.

Find LCM of 461,219,489 with Prime Factorization

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

3 x 461 x 73 x 163 = 16456317

Therefore, the lowest common multiple of 461,219,489 is 16456317.

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.

461 x 219 x 489 = 49368951

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.

461 : 1, 461

219 : 1, 3, 73, 219

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,219,489, is 1.

Now, the common factors can be found like this.

461:461

219:3x 73

489:3x 163

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 = 49368951/(1x3)

LCM = 49368951/3

LCM = 16456317

Thus, we can understand that the LCM of 461,219,489 is 16456317.

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

• LCM of 912, 611, 366
• LCM of 486, 211, 282
• LCM of 754, 917, 313
• LCM of 620, 174, 211
• LCM of 538, 436, 238

1. What is the LCM of 461, 219, 489?

Answer: LCM of 461, 219, 489 is 16456317.

2. How to calculate the LCM of 461, 219, 489?

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 461, 219, 489.

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}.