Given Numbers are 6976, 6984

We can find the LCM of 6976, 6984 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6976 and 6984

Multiples of 6976 =6976,13952,20928,27904,34880,41856,48832,55808,62784,69760,76736,83712,90688,97664,104640,111616,118592,

Multiples of 6984 =6984,13968,20952,27936,34920,41904,48888,55872,62856,69840,76824,83808,90792,97776,104760,111744,118728,

Now, get the least common multiple of 6976, 6984 which is 6090048

So, the LCM of 6976, 6984 is 6090048.

One method for determining the LCM of 6976 and 6984 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 6976's prime factorization:

Prime factors of 6976 are 2,109.

6976 = 2⁶×109¹

And this is 6984's prime factorization:

Prime factors of 6984 are 2, 3,97.

6984 = 2³×3²×97¹

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: 2,109, 3,97

2⁶×3²×97¹×109¹ = 6090048

This shows that the LCM of 6976 and 6984 is 6090048.

The first step in determining the Least Common Multiple of 6976 and 6984 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6976 and 6984:

Lets look at the first ten multiples of these numbers, 6976 and 6984:

6976,13952,20928,27904,34880,41856,48832,55808,62784,118592 are the first ten multiples of 6976.

6984,13968,20952,27936,34920,41904,48888,55872,62856,118728 are the first ten multiples of 6984.

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 6976 and 6984, for example, are 83712, 118592, and 111744. 6090048 is the least common multiple since it is the smallest.

6976 and 6984 have an LCM of 6090048.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6976 and 6984, than apply into the LCM equation.

GCF(6976,6984) = 8
LCM(6976,6984) = ( 6976 × 6984) / 8
LCM(6976,6984) = 48720384 / 8
LCM(6976,6984) = 6090048

1. What is the LCM of 6976 and 6984?

The LCM of 6976 and 6984 is 6090048.

2. How to find the lowest common multiple of 6976 and 6984?

To find the lowest common multiple of 6976 and 6984, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6090048.

3. What are the Factors of 6976?

Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.

4. What are the Factors of 6984?

Answer: Factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. There are 24 integers that are factors of 6984. The greatest factor of 6984 is 6984.

Answer:

Least Common Multiple of 6976 and 6984 = 6090048

Step 1: Find the prime factorization of 6976

6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 6984

6984 = 2 x 2 x 2 x 3 x 3 x 97

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

LCM = 6090048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 97 x 109

Step 4: Therefore, the least common multiple of 6976 and 6984 is 6090048.