Given Numbers are 967, 974

We can find the LCM of 967, 974 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 967 and 974

Multiples of 967 =967,1934,2901,3868,4835,5802,6769,7736,8703,9670,10637,11604,12571,13538,14505,15472,16439,

Multiples of 974 =974,1948,2922,3896,4870,5844,6818,7792,8766,9740,10714,11688,12662,13636,14610,15584,16558,

Now, get the least common multiple of 967, 974 which is 941858

So, the LCM of 967, 974 is 941858.

One method for determining the LCM of 967 and 974 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 967's prime factorization:

Prime factors of 967 are 967.

967 = 967¹

And this is 974's prime factorization:

Prime factors of 974 are 2,487.

974 = 2¹×487¹

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:967, 2,487

2¹×487¹×967¹ = 941858

This shows that the LCM of 967 and 974 is 941858.

The first step in determining the Least Common Multiple of 967 and 974 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 967 and 974:

Lets look at the first ten multiples of these numbers, 967 and 974:

967,1934,2901,3868,4835,5802,6769,7736,8703,16439 are the first ten multiples of 967.

974,1948,2922,3896,4870,5844,6818,7792,8766,16558 are the first ten multiples of 974.

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 967 and 974, for example, are 11604, 16439, and 15584. 941858 is the least common multiple since it is the smallest.

967 and 974 have an LCM of 941858.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 967 and 974, than apply into the LCM equation.

GCF(967,974) = 1
LCM(967,974) = ( 967 × 974) / 1
LCM(967,974) = 941858 / 1
LCM(967,974) = 941858

1. What is the LCM of 967 and 974?

The LCM of 967 and 974 is 941858.

2. How to find the lowest common multiple of 967 and 974?

To find the lowest common multiple of 967 and 974, we have to get the multip;es of both numbers and identify the least common multiple in them which is 941858.

3. What are the Factors of 967?

Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.

4. What are the Factors of 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

Answer:

Least Common Multiple of 967 and 974 = 941858

Step 1: Find the prime factorization of 967

967 = 967

Step 2: Find the prime factorization of 974

974 = 2 x 487

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

LCM = 941858 = 2 x 487 x 967

Step 4: Therefore, the least common multiple of 967 and 974 is 941858.