Given numbers are 48,64,58,48,454

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

The LCM of 48,64,58,48,454 is 1263936.

Find LCM of 48,64,58,48,454 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 1 x 4 x 29 x 1 x 227 = 1263936

Therefore, the lowest common multiple of 48,64,58,48,454 is 1263936.

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.

48 x 64 x 58 x 48 x 454 = 3882811392

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.

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

64 : 1, 2, 4, 8, 16, 32, 64

58 : 1, 2, 29, 58

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

454 : 1, 2, 227, 454

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,64,58,48,454, is 2.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

64:2x 2x 2x 2x 2x 2

58:2x 29

48:2x 2x 2x 2x 3

454:2x 227

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 2x 2x 2x 2x 2x 2x 3 = 1536

Therefore, the value for common factors is 1536.

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 = 3882811392/(2x1536)

LCM = 3882811392/3072

LCM = 1263936

Thus, we can understand that the LCM of 48,64,58,48,454 is 1263936.

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

• LCM of 46, 65, 18, 20, 491
• LCM of 51, 15, 35, 86, 726
• LCM of 28, 91, 72, 42, 384
• LCM of 65, 73, 80, 17, 749
• LCM of 89, 42, 55, 39, 665

1. What is the LCM of 48, 64, 58, 48, 454?

Answer: LCM of 48, 64, 58, 48, 454 is 1263936.

2. How to calculate the LCM of 48, 64, 58, 48, 454?

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 48, 64, 58, 48, 454.

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}.