Given Numbers are 370, 377

We can find the LCM of 370, 377 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 370 and 377

Multiples of 370 =370,740,1110,1480,1850,2220,2590,2960,3330,3700,4070,4440,4810,5180,5550,5920,6290,

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 370, 377 which is 139490

So, the LCM of 370, 377 is 139490.

One method for determining the LCM of 370 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 370's prime factorization:

Prime factors of 370 are 2, 5,37.

370 = 2¹×5¹×37¹

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: 2, 5,37, 13,29

2¹×5¹×13¹×29¹×37¹ = 139490

This shows that the LCM of 370 and 377 is 139490.

The first step in determining the Least Common Multiple of 370 and 377 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 370 and 377:

Lets look at the first ten multiples of these numbers, 370 and 377:

370,740,1110,1480,1850,2220,2590,2960,3330,6290 are the first ten multiples of 370.

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 370 and 377, for example, are 4440, 6290, and 6032. 139490 is the least common multiple since it is the smallest.

370 and 377 have an LCM of 139490.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 370 and 377, than apply into the LCM equation.

GCF(370,377) = 1
LCM(370,377) = ( 370 × 377) / 1
LCM(370,377) = 139490 / 1
LCM(370,377) = 139490

1. What is the LCM of 370 and 377?

The LCM of 370 and 377 is 139490.

2. How to find the lowest common multiple of 370 and 377?

To find the lowest common multiple of 370 and 377, we have to get the multip;es of both numbers and identify the least common multiple in them which is 139490.

3. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

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 370 and 377 = 139490

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

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 = 139490 = 2 x 5 x 13 x 29 x 37

Step 4: Therefore, the least common multiple of 370 and 377 is 139490.