Given numbers are 49,56,404

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

The LCM of 49,56,404 is 39592.

Find LCM of 49,56,404 with Prime Factorization

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

2 x 2 x 7 x 7 x 2 x 101 = 39592

Therefore, the lowest common multiple of 49,56,404 is 39592.

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.

49 x 56 x 404 = 1108576

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.

49 : 1, 7, 49

56 : 1, 2, 4, 7, 8, 14, 28, 56

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 49,56,404, is 1.

Now, the common factors can be found like this.

49:7x 7

56:2x 2x 2x 7

404:2x 2x 101

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 1108576/(1x28)

LCM = 1108576/28

LCM = 39592

Thus, we can understand that the LCM of 49,56,404 is 39592.

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

• LCM of 97, 26, 105
• LCM of 45, 92, 471
• LCM of 81, 73, 253
• LCM of 75, 76, 144
• LCM of 49, 66, 220

1. What is the LCM of 49, 56, 404?

Answer: LCM of 49, 56, 404 is 39592.

2. How to calculate the LCM of 49, 56, 404?

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 49, 56, 404.

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}.