Given Numbers are 981, 986

We can find the LCM of 981, 986 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 981 and 986

Multiples of 981 =981,1962,2943,3924,4905,5886,6867,7848,8829,9810,10791,11772,12753,13734,14715,15696,16677,

Multiples of 986 =986,1972,2958,3944,4930,5916,6902,7888,8874,9860,10846,11832,12818,13804,14790,15776,16762,

Now, get the least common multiple of 981, 986 which is 967266

So, the LCM of 981, 986 is 967266.

One method for determining the LCM of 981 and 986 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 981's prime factorization:

Prime factors of 981 are 3,109.

981 = 3²×109¹

And this is 986's prime factorization:

Prime factors of 986 are 2, 17,29.

986 = 2¹×17¹×29¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 3,109, 2, 17,29

2¹×3²×17¹×29¹×109¹ = 967266

This shows that the LCM of 981 and 986 is 967266.

The first step in determining the Least Common Multiple of 981 and 986 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 981 and 986:

Lets look at the first ten multiples of these numbers, 981 and 986:

981,1962,2943,3924,4905,5886,6867,7848,8829,16677 are the first ten multiples of 981.

986,1972,2958,3944,4930,5916,6902,7888,8874,16762 are the first ten multiples of 986.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 981 and 986, for example, are 11772, 16677, and 15776. 967266 is the least common multiple since it is the smallest.

981 and 986 have an LCM of 967266.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 981 and 986, than apply into the LCM equation.

GCF(981,986) = 1
LCM(981,986) = ( 981 × 986) / 1
LCM(981,986) = 967266 / 1
LCM(981,986) = 967266

1. What is the LCM of 981 and 986?

The LCM of 981 and 986 is 967266.

2. How to find the lowest common multiple of 981 and 986?

To find the lowest common multiple of 981 and 986, we have to get the multip;es of both numbers and identify the least common multiple in them which is 967266.

3. What are the Factors of 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

4. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

Answer:

Least Common Multiple of 981 and 986 = 967266

Step 1: Find the prime factorization of 981

981 = 3 x 3 x 109

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 967266 = 2 x 3 x 3 x 17 x 29 x 109

Step 4: Therefore, the least common multiple of 981 and 986 is 967266.