Given Numbers are 978, 985

We can find the LCM of 978, 985 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 978 and 985

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

Multiples of 985 =985,1970,2955,3940,4925,5910,6895,7880,8865,9850,10835,11820,12805,13790,14775,15760,16745,

Now, get the least common multiple of 978, 985 which is 963330

So, the LCM of 978, 985 is 963330.

One method for determining the LCM of 978 and 985 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 985's prime factorization:

Prime factors of 985 are 5,197.

985 = 5¹×197¹

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, 5,197

2¹×3¹×5¹×163¹×197¹ = 963330

This shows that the LCM of 978 and 985 is 963330.

The first step in determining the Least Common Multiple of 978 and 985 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 978 and 985:

Lets look at the first ten multiples of these numbers, 978 and 985:

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

985,1970,2955,3940,4925,5910,6895,7880,8865,16745 are the first ten multiples of 985.

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 985, for example, are 11736, 16626, and 15760. 963330 is the least common multiple since it is the smallest.

978 and 985 have an LCM of 963330.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 978 and 985, than apply into the LCM equation.

GCF(978,985) = 1
LCM(978,985) = ( 978 × 985) / 1
LCM(978,985) = 963330 / 1
LCM(978,985) = 963330

1. What is the LCM of 978 and 985?

The LCM of 978 and 985 is 963330.

2. How to find the lowest common multiple of 978 and 985?

To find the lowest common multiple of 978 and 985, we have to get the multip;es of both numbers and identify the least common multiple in them which is 963330.

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 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

Answer:

Least Common Multiple of 978 and 985 = 963330

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 985

985 = 5 x 197

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

LCM = 963330 = 2 x 3 x 5 x 163 x 197

Step 4: Therefore, the least common multiple of 978 and 985 is 963330.