Given Numbers are 968, 972

We can find the LCM of 968, 972 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 968 and 972

Multiples of 968 =968,1936,2904,3872,4840,5808,6776,7744,8712,9680,10648,11616,12584,13552,14520,15488,16456,

Multiples of 972 =972,1944,2916,3888,4860,5832,6804,7776,8748,9720,10692,11664,12636,13608,14580,15552,16524,

Now, get the least common multiple of 968, 972 which is 235224

So, the LCM of 968, 972 is 235224.

One method for determining the LCM of 968 and 972 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 968's prime factorization:

Prime factors of 968 are 2,11.

968 = 2³×11²

And this is 972's prime factorization:

Prime factors of 972 are 2,3.

972 = 2²×3⁵

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: 2,11,3

2³×3⁵×11² = 235224

This shows that the LCM of 968 and 972 is 235224.

The first step in determining the Least Common Multiple of 968 and 972 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 968 and 972:

Lets look at the first ten multiples of these numbers, 968 and 972:

968,1936,2904,3872,4840,5808,6776,7744,8712,16456 are the first ten multiples of 968.

972,1944,2916,3888,4860,5832,6804,7776,8748,16524 are the first ten multiples of 972.

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 968 and 972, for example, are 11616, 16456, and 15552. 235224 is the least common multiple since it is the smallest.

968 and 972 have an LCM of 235224.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 968 and 972, than apply into the LCM equation.

GCF(968,972) = 4
LCM(968,972) = ( 968 × 972) / 4
LCM(968,972) = 940896 / 4
LCM(968,972) = 235224

1. What is the LCM of 968 and 972?

The LCM of 968 and 972 is 235224.

2. How to find the lowest common multiple of 968 and 972?

To find the lowest common multiple of 968 and 972, we have to get the multip;es of both numbers and identify the least common multiple in them which is 235224.

3. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

4. What are the Factors of 972?

Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.

Answer:

Least Common Multiple of 968 and 972 = 235224

Step 1: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 972

972 = 2 x 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 235224 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 11

Step 4: Therefore, the least common multiple of 968 and 972 is 235224.