Given numbers are 14,58,90,986

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

The LCM of 14,58,90,986 is 310590.

Find LCM of 14,58,90,986 with Prime Factorization

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

2 x 29 x 7 x 1 x 45 x 17 = 310590

Therefore, the lowest common multiple of 14,58,90,986 is 310590.

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.

14 x 58 x 90 x 986 = 72056880

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.

14 : 1, 2, 7, 14

58 : 1, 2, 29, 58

90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

986 : 1, 2, 17, 29, 34, 58, 493, 986

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 14,58,90,986, is 2.

Now, the common factors can be found like this.

14:2x 7

58:2x 29

90:2x 3x 3x 5

986:2x 17x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 72056880/(2x116)

LCM = 72056880/232

LCM = 310590

Thus, we can understand that the LCM of 14,58,90,986 is 310590.

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

• LCM of 83, 91, 77, 474
• LCM of 19, 57, 55, 559
• LCM of 25, 34, 17, 567
• LCM of 87, 30, 59, 147
• LCM of 66, 90, 52, 311

1. What is the LCM of 14, 58, 90, 986?

Answer: LCM of 14, 58, 90, 986 is 310590.

2. How to calculate the LCM of 14, 58, 90, 986?

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 14, 58, 90, 986.

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}.