Given Numbers are 968, 973

We can find the LCM of 968, 973 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 968 and 973

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

Multiples of 973 =973,1946,2919,3892,4865,5838,6811,7784,8757,9730,10703,11676,12649,13622,14595,15568,16541,

Now, get the least common multiple of 968, 973 which is 941864

So, the LCM of 968, 973 is 941864.

One method for determining the LCM of 968 and 973 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 973's prime factorization:

Prime factors of 973 are 7,139.

973 = 7¹×139¹

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, 7,139

2³×7¹×11²×139¹ = 941864

This shows that the LCM of 968 and 973 is 941864.

The first step in determining the Least Common Multiple of 968 and 973 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 968 and 973:

Lets look at the first ten multiples of these numbers, 968 and 973:

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

973,1946,2919,3892,4865,5838,6811,7784,8757,16541 are the first ten multiples of 973.

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 973, for example, are 11616, 16456, and 15568. 941864 is the least common multiple since it is the smallest.

968 and 973 have an LCM of 941864.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 968 and 973, than apply into the LCM equation.

GCF(968,973) = 1
LCM(968,973) = ( 968 × 973) / 1
LCM(968,973) = 941864 / 1
LCM(968,973) = 941864

1. What is the LCM of 968 and 973?

The LCM of 968 and 973 is 941864.

2. How to find the lowest common multiple of 968 and 973?

To find the lowest common multiple of 968 and 973, we have to get the multip;es of both numbers and identify the least common multiple in them which is 941864.

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 973?

Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.

Answer:

Least Common Multiple of 968 and 973 = 941864

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 973

973 = 7 x 139

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

LCM = 941864 = 2 x 2 x 2 x 7 x 11 x 11 x 139

Step 4: Therefore, the least common multiple of 968 and 973 is 941864.