Given Numbers are 971, 978

We can find the LCM of 971, 978 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 971 and 978

Multiples of 971 =971,1942,2913,3884,4855,5826,6797,7768,8739,9710,10681,11652,12623,13594,14565,15536,16507,

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

Now, get the least common multiple of 971, 978 which is 949638

So, the LCM of 971, 978 is 949638.

One method for determining the LCM of 971 and 978 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 971's prime factorization:

Prime factors of 971 are 971.

971 = 971¹

And this is 978's prime factorization:

Prime factors of 978 are 2, 3,163.

978 = 2¹×3¹×163¹

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:971, 2, 3,163

2¹×3¹×163¹×971¹ = 949638

This shows that the LCM of 971 and 978 is 949638.

The first step in determining the Least Common Multiple of 971 and 978 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 971 and 978:

Lets look at the first ten multiples of these numbers, 971 and 978:

971,1942,2913,3884,4855,5826,6797,7768,8739,16507 are the first ten multiples of 971.

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

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 971 and 978, for example, are 11652, 16507, and 15648. 949638 is the least common multiple since it is the smallest.

971 and 978 have an LCM of 949638.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 971 and 978, than apply into the LCM equation.

GCF(971,978) = 1
LCM(971,978) = ( 971 × 978) / 1
LCM(971,978) = 949638 / 1
LCM(971,978) = 949638

1. What is the LCM of 971 and 978?

The LCM of 971 and 978 is 949638.

2. How to find the lowest common multiple of 971 and 978?

To find the lowest common multiple of 971 and 978, we have to get the multip;es of both numbers and identify the least common multiple in them which is 949638.

3. What are the Factors of 971?

Answer: Factors of 971 are 1, 971. There are 2 integers that are factors of 971. The greatest factor of 971 is 971.

4. 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.

Answer:

Least Common Multiple of 971 and 978 = 949638

Step 1: Find the prime factorization of 971

971 = 971

Step 2: Find the prime factorization of 978

978 = 2 x 3 x 163

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

LCM = 949638 = 2 x 3 x 163 x 971

Step 4: Therefore, the least common multiple of 971 and 978 is 949638.