Given numbers are 16,48,424

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

The LCM of 16,48,424 is 2544.

Find LCM of 16,48,424 with Prime Factorization

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

2 x 2 x 2 x 2 x 1 x 3 x 53 = 2544

Therefore, the lowest common multiple of 16,48,424 is 2544.

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.

16 x 48 x 424 = 325632

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.

16 : 1, 2, 4, 8, 16

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

424 : 1, 2, 4, 8, 53, 106, 212, 424

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 16,48,424, is 8.

Now, the common factors can be found like this.

16:2x 2x 2x 2

48:2x 2x 2x 2x 3

424:2x 2x 2x 53

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 325632/(8x16)

LCM = 325632/128

LCM = 2544

Thus, we can understand that the LCM of 16,48,424 is 2544.

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

• LCM of 65, 49, 578
• LCM of 68, 57, 444
• LCM of 29, 25, 119
• LCM of 56, 70, 611
• LCM of 50, 44, 856

1. What is the LCM of 16, 48, 424?

Answer: LCM of 16, 48, 424 is 2544.

2. How to calculate the LCM of 16, 48, 424?

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 16, 48, 424.

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}.