Given Numbers are 374, 382

We can find the LCM of 374, 382 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 374 and 382

Multiples of 374 =374,748,1122,1496,1870,2244,2618,2992,3366,3740,4114,4488,4862,5236,5610,5984,6358,

Multiples of 382 =382,764,1146,1528,1910,2292,2674,3056,3438,3820,4202,4584,4966,5348,5730,6112,6494,

Now, get the least common multiple of 374, 382 which is 71434

So, the LCM of 374, 382 is 71434.

One method for determining the LCM of 374 and 382 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 374's prime factorization:

Prime factors of 374 are 2, 11,17.

374 = 2¹×11¹×17¹

And this is 382's prime factorization:

Prime factors of 382 are 2,191.

382 = 2¹×191¹

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, 11,17,191

2¹×11¹×17¹×191¹ = 71434

This shows that the LCM of 374 and 382 is 71434.

The first step in determining the Least Common Multiple of 374 and 382 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 374 and 382:

Lets look at the first ten multiples of these numbers, 374 and 382:

374,748,1122,1496,1870,2244,2618,2992,3366,6358 are the first ten multiples of 374.

382,764,1146,1528,1910,2292,2674,3056,3438,6494 are the first ten multiples of 382.

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 374 and 382, for example, are 4488, 6358, and 6112. 71434 is the least common multiple since it is the smallest.

374 and 382 have an LCM of 71434.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 374 and 382, than apply into the LCM equation.

GCF(374,382) = 2
LCM(374,382) = ( 374 × 382) / 2
LCM(374,382) = 142868 / 2
LCM(374,382) = 71434

1. What is the LCM of 374 and 382?

The LCM of 374 and 382 is 71434.

2. How to find the lowest common multiple of 374 and 382?

To find the lowest common multiple of 374 and 382, we have to get the multip;es of both numbers and identify the least common multiple in them which is 71434.

3. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

4. What are the Factors of 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

Answer:

Least Common Multiple of 374 and 382 = 71434

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

Step 2: Find the prime factorization of 382

382 = 2 x 191

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

LCM = 71434 = 2 x 11 x 17 x 191

Step 4: Therefore, the least common multiple of 374 and 382 is 71434.