Given numbers are 449,76,494

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

The LCM of 449,76,494 is 443612.

Find LCM of 449,76,494 with Prime Factorization

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

2 x 19 x 449 x 2 x 13 = 443612

Therefore, the lowest common multiple of 449,76,494 is 443612.

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.

449 x 76 x 494 = 16857256

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.

449 : 1, 449

76 : 1, 2, 4, 19, 38, 76

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,76,494, is 1.

Now, the common factors can be found like this.

449:449

76:2x 2x 19

494:2x 13x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 16857256/(1x38)

LCM = 16857256/38

LCM = 443612

Thus, we can understand that the LCM of 449,76,494 is 443612.

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

• LCM of 406, 16, 548
• LCM of 292, 16, 342
• LCM of 127, 36, 977
• LCM of 912, 41, 835
• LCM of 146, 79, 641

1. What is the LCM of 449, 76, 494?

Answer: LCM of 449, 76, 494 is 443612.

2. How to calculate the LCM of 449, 76, 494?

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 449, 76, 494.

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}.