Given Numbers are 377, 382

We can find the LCM of 377, 382 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 377 and 382

Multiples of 377 =377,754,1131,1508,1885,2262,2639,3016,3393,3770,4147,4524,4901,5278,5655,6032,6409,

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 377, 382 which is 144014

So, the LCM of 377, 382 is 144014.

One method for determining the LCM of 377 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 377's prime factorization:

Prime factors of 377 are 13,29.

377 = 13¹×29¹

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: 13,29, 2,191

2¹×13¹×29¹×191¹ = 144014

This shows that the LCM of 377 and 382 is 144014.

The first step in determining the Least Common Multiple of 377 and 382 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 377 and 382:

Lets look at the first ten multiples of these numbers, 377 and 382:

377,754,1131,1508,1885,2262,2639,3016,3393,6409 are the first ten multiples of 377.

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 377 and 382, for example, are 4524, 6409, and 6112. 144014 is the least common multiple since it is the smallest.

377 and 382 have an LCM of 144014.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 377 and 382, than apply into the LCM equation.

GCF(377,382) = 1
LCM(377,382) = ( 377 × 382) / 1
LCM(377,382) = 144014 / 1
LCM(377,382) = 144014

1. What is the LCM of 377 and 382?

The LCM of 377 and 382 is 144014.

2. How to find the lowest common multiple of 377 and 382?

To find the lowest common multiple of 377 and 382, we have to get the multip;es of both numbers and identify the least common multiple in them which is 144014.

3. What are the Factors of 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

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 377 and 382 = 144014

Step 1: Find the prime factorization of 377

377 = 13 x 29

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 = 144014 = 2 x 13 x 29 x 191

Step 4: Therefore, the least common multiple of 377 and 382 is 144014.