Given Numbers are 376, 382

We can find the LCM of 376, 382 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 376 and 382

Multiples of 376 =376,752,1128,1504,1880,2256,2632,3008,3384,3760,4136,4512,4888,5264,5640,6016,6392,

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 376, 382 which is 71816

So, the LCM of 376, 382 is 71816.

One method for determining the LCM of 376 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 376's prime factorization:

Prime factors of 376 are 2,47.

376 = 2³×47¹

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: 2,47,191

2³×47¹×191¹ = 71816

This shows that the LCM of 376 and 382 is 71816.

The first step in determining the Least Common Multiple of 376 and 382 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 376 and 382:

Lets look at the first ten multiples of these numbers, 376 and 382:

376,752,1128,1504,1880,2256,2632,3008,3384,6392 are the first ten multiples of 376.

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 376 and 382, for example, are 4512, 6392, and 6112. 71816 is the least common multiple since it is the smallest.

376 and 382 have an LCM of 71816.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 376 and 382, than apply into the LCM equation.

GCF(376,382) = 2
LCM(376,382) = ( 376 × 382) / 2
LCM(376,382) = 143632 / 2
LCM(376,382) = 71816

1. What is the LCM of 376 and 382?

The LCM of 376 and 382 is 71816.

2. How to find the lowest common multiple of 376 and 382?

To find the lowest common multiple of 376 and 382, we have to get the multip;es of both numbers and identify the least common multiple in them which is 71816.

3. What are the Factors of 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

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 376 and 382 = 71816

Step 1: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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 = 71816 = 2 x 2 x 2 x 47 x 191

Step 4: Therefore, the least common multiple of 376 and 382 is 71816.