Given Numbers are 976, 981

We can find the LCM of 976, 981 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 976 and 981

Multiples of 976 =976,1952,2928,3904,4880,5856,6832,7808,8784,9760,10736,11712,12688,13664,14640,15616,16592,

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

Now, get the least common multiple of 976, 981 which is 957456

So, the LCM of 976, 981 is 957456.

One method for determining the LCM of 976 and 981 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 976's prime factorization:

Prime factors of 976 are 2,61.

976 = 2⁴×61¹

And this is 981's prime factorization:

Prime factors of 981 are 3,109.

981 = 3²×109¹

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: 2,61, 3,109

2⁴×3²×61¹×109¹ = 957456

This shows that the LCM of 976 and 981 is 957456.

The first step in determining the Least Common Multiple of 976 and 981 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 976 and 981:

Lets look at the first ten multiples of these numbers, 976 and 981:

976,1952,2928,3904,4880,5856,6832,7808,8784,16592 are the first ten multiples of 976.

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

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 976 and 981, for example, are 11712, 16592, and 15696. 957456 is the least common multiple since it is the smallest.

976 and 981 have an LCM of 957456.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 981, than apply into the LCM equation.

GCF(976,981) = 1
LCM(976,981) = ( 976 × 981) / 1
LCM(976,981) = 957456 / 1
LCM(976,981) = 957456

1. What is the LCM of 976 and 981?

The LCM of 976 and 981 is 957456.

2. How to find the lowest common multiple of 976 and 981?

To find the lowest common multiple of 976 and 981, we have to get the multip;es of both numbers and identify the least common multiple in them which is 957456.

3. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

4. 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.

Answer:

Least Common Multiple of 976 and 981 = 957456

Step 1: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 981

981 = 3 x 3 x 109

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

LCM = 957456 = 2 x 2 x 2 x 2 x 3 x 3 x 61 x 109

Step 4: Therefore, the least common multiple of 976 and 981 is 957456.