Given Numbers are 6980, 6987

We can find the LCM of 6980, 6987 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6980 and 6987

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

Multiples of 6987 =6987,13974,20961,27948,34935,41922,48909,55896,62883,69870,76857,83844,90831,97818,104805,111792,118779,

Now, get the least common multiple of 6980, 6987 which is 48769260

So, the LCM of 6980, 6987 is 48769260.

One method for determining the LCM of 6980 and 6987 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 6987's prime factorization:

Prime factors of 6987 are 3, 17,137.

6987 = 3¹×17¹×137¹

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, 3, 17,137

2²×3¹×5¹×17¹×137¹×349¹ = 48769260

This shows that the LCM of 6980 and 6987 is 48769260.

The first step in determining the Least Common Multiple of 6980 and 6987 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6980 and 6987:

Lets look at the first ten multiples of these numbers, 6980 and 6987:

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

6987,13974,20961,27948,34935,41922,48909,55896,62883,118779 are the first ten multiples of 6987.

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 6987, for example, are 83760, 118660, and 111792. 48769260 is the least common multiple since it is the smallest.

6980 and 6987 have an LCM of 48769260.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6980 and 6987, than apply into the LCM equation.

GCF(6980,6987) = 1
LCM(6980,6987) = ( 6980 × 6987) / 1
LCM(6980,6987) = 48769260 / 1
LCM(6980,6987) = 48769260

1. What is the LCM of 6980 and 6987?

The LCM of 6980 and 6987 is 48769260.

2. How to find the lowest common multiple of 6980 and 6987?

To find the lowest common multiple of 6980 and 6987, we have to get the multip;es of both numbers and identify the least common multiple in them which is 48769260.

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 6987?

Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.

Answer:

Least Common Multiple of 6980 and 6987 = 48769260

Step 1: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

Step 2: Find the prime factorization of 6987

6987 = 3 x 17 x 137

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

LCM = 48769260 = 2 x 2 x 3 x 5 x 17 x 137 x 349

Step 4: Therefore, the least common multiple of 6980 and 6987 is 48769260.