Given Numbers are 978, 986

We can find the LCM of 978, 986 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 978 and 986

Multiples of 978 =978,1956,2934,3912,4890,5868,6846,7824,8802,9780,10758,11736,12714,13692,14670,15648,16626,

Multiples of 986 =986,1972,2958,3944,4930,5916,6902,7888,8874,9860,10846,11832,12818,13804,14790,15776,16762,

Now, get the least common multiple of 978, 986 which is 482154

So, the LCM of 978, 986 is 482154.

One method for determining the LCM of 978 and 986 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 978's prime factorization:

Prime factors of 978 are 2, 3,163.

978 = 2¹×3¹×163¹

And this is 986's prime factorization:

Prime factors of 986 are 2, 17,29.

986 = 2¹×17¹×29¹

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, 3,163, 17,29

2¹×3¹×17¹×29¹×163¹ = 482154

This shows that the LCM of 978 and 986 is 482154.

The first step in determining the Least Common Multiple of 978 and 986 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 978 and 986:

Lets look at the first ten multiples of these numbers, 978 and 986:

978,1956,2934,3912,4890,5868,6846,7824,8802,16626 are the first ten multiples of 978.

986,1972,2958,3944,4930,5916,6902,7888,8874,16762 are the first ten multiples of 986.

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 978 and 986, for example, are 11736, 16626, and 15776. 482154 is the least common multiple since it is the smallest.

978 and 986 have an LCM of 482154.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 978 and 986, than apply into the LCM equation.

GCF(978,986) = 2
LCM(978,986) = ( 978 × 986) / 2
LCM(978,986) = 964308 / 2
LCM(978,986) = 482154

1. What is the LCM of 978 and 986?

The LCM of 978 and 986 is 482154.

2. How to find the lowest common multiple of 978 and 986?

To find the lowest common multiple of 978 and 986, we have to get the multip;es of both numbers and identify the least common multiple in them which is 482154.

3. What are the Factors of 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

4. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

Answer:

Least Common Multiple of 978 and 986 = 482154

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

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

LCM = 482154 = 2 x 3 x 17 x 29 x 163

Step 4: Therefore, the least common multiple of 978 and 986 is 482154.