Given Numbers are 369, 377

We can find the LCM of 369, 377 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 369 and 377

Multiples of 369 =369,738,1107,1476,1845,2214,2583,2952,3321,3690,4059,4428,4797,5166,5535,5904,6273,

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

Now, get the least common multiple of 369, 377 which is 139113

So, the LCM of 369, 377 is 139113.

One method for determining the LCM of 369 and 377 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 369's prime factorization:

Prime factors of 369 are 3,41.

369 = 3²×41¹

And this is 377's prime factorization:

Prime factors of 377 are 13,29.

377 = 13¹×29¹

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: 3,41, 13,29

3²×13¹×29¹×41¹ = 139113

This shows that the LCM of 369 and 377 is 139113.

The first step in determining the Least Common Multiple of 369 and 377 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 369 and 377:

Lets look at the first ten multiples of these numbers, 369 and 377:

369,738,1107,1476,1845,2214,2583,2952,3321,6273 are the first ten multiples of 369.

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

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 369 and 377, for example, are 4428, 6273, and 6032. 139113 is the least common multiple since it is the smallest.

369 and 377 have an LCM of 139113.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 369 and 377, than apply into the LCM equation.

GCF(369,377) = 1
LCM(369,377) = ( 369 × 377) / 1
LCM(369,377) = 139113 / 1
LCM(369,377) = 139113

1. What is the LCM of 369 and 377?

The LCM of 369 and 377 is 139113.

2. How to find the lowest common multiple of 369 and 377?

To find the lowest common multiple of 369 and 377, we have to get the multip;es of both numbers and identify the least common multiple in them which is 139113.

3. What are the Factors of 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

4. 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.

Answer:

Least Common Multiple of 369 and 377 = 139113

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 377

377 = 13 x 29

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

LCM = 139113 = 3 x 3 x 13 x 29 x 41

Step 4: Therefore, the least common multiple of 369 and 377 is 139113.