Given numbers are 97,46,58,40,985

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

The LCM of 97,46,58,40,985 is 509828120.

Find LCM of 97,46,58,40,985 with Prime Factorization

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

2 x 5 x 97 x 23 x 29 x 4 x 197 = 509828120

Therefore, the lowest common multiple of 97,46,58,40,985 is 509828120.

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.

97 x 46 x 58 x 40 x 985 = 10196562400

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.

97 : 1, 97

46 : 1, 2, 23, 46

58 : 1, 2, 29, 58

40 : 1, 2, 4, 5, 8, 10, 20, 40

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 97,46,58,40,985, is 1.

Now, the common factors can be found like this.

97:97

46:2x 23

58:2x 29

40:2x 2x 2x 5

985:5x 197

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 5 = 20

Therefore, the value for common factors is 20.

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 = 10196562400/(1x20)

LCM = 10196562400/20

LCM = 509828120

Thus, we can understand that the LCM of 97,46,58,40,985 is 509828120.

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

• LCM of 50, 70, 39, 30, 117
• LCM of 56, 64, 87, 45, 182
• LCM of 43, 30, 49, 28, 594
• LCM of 58, 32, 65, 37, 357
• LCM of 44, 65, 48, 19, 636

1. What is the LCM of 97, 46, 58, 40, 985?

Answer: LCM of 97, 46, 58, 40, 985 is 509828120.

2. How to calculate the LCM of 97, 46, 58, 40, 985?

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 97, 46, 58, 40, 985.

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}.