Given Numbers are 6985, 6990

We can find the LCM of 6985, 6990 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 6985 and 6990

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

Multiples of 6990 =6990,13980,20970,27960,34950,41940,48930,55920,62910,69900,76890,83880,90870,97860,104850,111840,118830,

Now, get the least common multiple of 6985, 6990 which is 9765030

So, the LCM of 6985, 6990 is 9765030.

One method for determining the LCM of 6985 and 6990 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 6985's prime factorization:

Prime factors of 6985 are 5, 11,127.

6985 = 5¹×11¹×127¹

And this is 6990's prime factorization:

Prime factors of 6990 are 2, 3, 5,233.

6990 = 2¹×3¹×5¹×233¹

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: 5, 11,127, 2, 3,233

2¹×3¹×5¹×11¹×127¹×233¹ = 9765030

This shows that the LCM of 6985 and 6990 is 9765030.

The first step in determining the Least Common Multiple of 6985 and 6990 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 6985 and 6990:

Lets look at the first ten multiples of these numbers, 6985 and 6990:

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

6990,13980,20970,27960,34950,41940,48930,55920,62910,118830 are the first ten multiples of 6990.

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 6985 and 6990, for example, are 83820, 118745, and 111840. 9765030 is the least common multiple since it is the smallest.

6985 and 6990 have an LCM of 9765030.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6990, than apply into the LCM equation.

GCF(6985,6990) = 5
LCM(6985,6990) = ( 6985 × 6990) / 5
LCM(6985,6990) = 48825150 / 5
LCM(6985,6990) = 9765030

1. What is the LCM of 6985 and 6990?

The LCM of 6985 and 6990 is 9765030.

2. How to find the lowest common multiple of 6985 and 6990?

To find the lowest common multiple of 6985 and 6990, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9765030.

3. 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.

4. What are the Factors of 6990?

Answer: Factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990. There are 16 integers that are factors of 6990. The greatest factor of 6990 is 6990.

Answer:

Least Common Multiple of 6985 and 6990 = 9765030

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

Step 2: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

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

LCM = 9765030 = 2 x 3 x 5 x 11 x 127 x 233

Step 4: Therefore, the least common multiple of 6985 and 6990 is 9765030.