Given numbers are 71,13,51,77,442

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

The LCM of 71,13,51,77,442 is 7249242.

Find LCM of 71,13,51,77,442 with Prime Factorization

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

13 x 17 x 71 x 1 x 3 x 77 x 2 = 7249242

Therefore, the lowest common multiple of 71,13,51,77,442 is 7249242.

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.

71 x 13 x 51 x 77 x 442 = 1602082482

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.

71 : 1, 71

13 : 1, 13

51 : 1, 3, 17, 51

77 : 1, 7, 11, 77

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 71,13,51,77,442, is 1.

Now, the common factors can be found like this.

71:71

13:13

51:3x 17

77:7x 11

442:2x 13x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 1602082482/(1x221)

LCM = 1602082482/221

LCM = 7249242

Thus, we can understand that the LCM of 71,13,51,77,442 is 7249242.

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

• LCM of 92, 28, 52, 25, 781
• LCM of 21, 60, 56, 60, 328
• LCM of 93, 56, 39, 48, 895
• LCM of 23, 78, 86, 93, 887
• LCM of 89, 49, 66, 76, 715

1. What is the LCM of 71, 13, 51, 77, 442?

Answer: LCM of 71, 13, 51, 77, 442 is 7249242.

2. How to calculate the LCM of 71, 13, 51, 77, 442?

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 71, 13, 51, 77, 442.

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}.