Given numbers are 71,58,76,31,461

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

The LCM of 71,58,76,31,461 is 2236312844.

Find LCM of 71,58,76,31,461 with Prime Factorization

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

2 x 71 x 29 x 38 x 31 x 461 = 2236312844

Therefore, the lowest common multiple of 71,58,76,31,461 is 2236312844.

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 58 x 76 x 31 x 461 = 4472625688

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

58 : 1, 2, 29, 58

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

31 : 1, 31

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 71,58,76,31,461, is 1.

Now, the common factors can be found like this.

71:71

58:2x 29

76:2x 2x 19

31:31

461:461

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4472625688/(1x2)

LCM = 4472625688/2

LCM = 2236312844

Thus, we can understand that the LCM of 71,58,76,31,461 is 2236312844.

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

• LCM of 70, 78, 40, 43, 943
• LCM of 64, 19, 40, 50, 266
• LCM of 24, 45, 66, 76, 129
• LCM of 97, 96, 37, 85, 171
• LCM of 49, 98, 65, 91, 271

1. What is the LCM of 71, 58, 76, 31, 461?

Answer: LCM of 71, 58, 76, 31, 461 is 2236312844.

2. How to calculate the LCM of 71, 58, 76, 31, 461?

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, 58, 76, 31, 461.

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}.