Given Numbers are 6980, 6985

We can find the LCM of 6980, 6985 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6980 and 6985

Multiples of 6980 =6980,13960,20940,27920,34900,41880,48860,55840,62820,69800,76780,83760,90740,97720,104700,111680,118660,

Multiples of 6985 =6985,13970,20955,27940,34925,41910,48895,55880,62865,69850,76835,83820,90805,97790,104775,111760,118745,

Now, get the least common multiple of 6980, 6985 which is 9751060

So, the LCM of 6980, 6985 is 9751060.

One method for determining the LCM of 6980 and 6985 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 6980's prime factorization:

Prime factors of 6980 are 2, 5,349.

6980 = 2²×5¹×349¹

And this is 6985's prime factorization:

Prime factors of 6985 are 5, 11,127.

6985 = 5¹×11¹×127¹

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, 5,349, 11,127

2²×5¹×11¹×127¹×349¹ = 9751060

This shows that the LCM of 6980 and 6985 is 9751060.

The first step in determining the Least Common Multiple of 6980 and 6985 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6980 and 6985:

Lets look at the first ten multiples of these numbers, 6980 and 6985:

6980,13960,20940,27920,34900,41880,48860,55840,62820,118660 are the first ten multiples of 6980.

6985,13970,20955,27940,34925,41910,48895,55880,62865,118745 are the first ten multiples of 6985.

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 6980 and 6985, for example, are 83760, 118660, and 111760. 9751060 is the least common multiple since it is the smallest.

6980 and 6985 have an LCM of 9751060.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6980 and 6985, than apply into the LCM equation.

GCF(6980,6985) = 5
LCM(6980,6985) = ( 6980 × 6985) / 5
LCM(6980,6985) = 48755300 / 5
LCM(6980,6985) = 9751060

1. What is the LCM of 6980 and 6985?

The LCM of 6980 and 6985 is 9751060.

2. How to find the lowest common multiple of 6980 and 6985?

To find the lowest common multiple of 6980 and 6985, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9751060.

3. What are the Factors of 6980?

Answer: Factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. There are 12 integers that are factors of 6980. The greatest factor of 6980 is 6980.

4. What are the Factors of 6985?

Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.

Answer:

Least Common Multiple of 6980 and 6985 = 9751060

Step 1: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

Step 2: Find the prime factorization of 6985

6985 = 5 x 11 x 127

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

LCM = 9751060 = 2 x 2 x 5 x 11 x 127 x 349

Step 4: Therefore, the least common multiple of 6980 and 6985 is 9751060.