Given numbers are 494,214,457

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

The LCM of 494,214,457 is 24156106.

Find LCM of 494,214,457 with Prime Factorization

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

2 x 247 x 107 x 457 = 24156106

Therefore, the lowest common multiple of 494,214,457 is 24156106.

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.

494 x 214 x 457 = 48312212

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

214 : 1, 2, 107, 214

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,214,457, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

214:2x 107

457:457

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

2 = 2

Therefore, the value for common factors is 2.

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 = 48312212/(1x2)

LCM = 48312212/2

LCM = 24156106

Thus, we can understand that the LCM of 494,214,457 is 24156106.

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

• LCM of 113, 219, 981
• LCM of 970, 344, 128
• LCM of 641, 431, 960
• LCM of 922, 252, 180
• LCM of 680, 718, 642

1. What is the LCM of 494, 214, 457?

Answer: LCM of 494, 214, 457 is 24156106.

2. How to calculate the LCM of 494, 214, 457?

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 494, 214, 457.

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}.