Given Numbers are 372, 377

We can find the LCM of 372, 377 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 372 and 377

Multiples of 372 =372,744,1116,1488,1860,2232,2604,2976,3348,3720,4092,4464,4836,5208,5580,5952,6324,

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 372, 377 which is 140244

So, the LCM of 372, 377 is 140244.

One method for determining the LCM of 372 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 372's prime factorization:

Prime factors of 372 are 2, 3,31.

372 = 2²×3¹×31¹

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, 3,31, 13,29

2²×3¹×13¹×29¹×31¹ = 140244

This shows that the LCM of 372 and 377 is 140244.

The first step in determining the Least Common Multiple of 372 and 377 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 372 and 377:

Lets look at the first ten multiples of these numbers, 372 and 377:

372,744,1116,1488,1860,2232,2604,2976,3348,6324 are the first ten multiples of 372.

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 372 and 377, for example, are 4464, 6324, and 6032. 140244 is the least common multiple since it is the smallest.

372 and 377 have an LCM of 140244.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 372 and 377, than apply into the LCM equation.

GCF(372,377) = 1
LCM(372,377) = ( 372 × 377) / 1
LCM(372,377) = 140244 / 1
LCM(372,377) = 140244

1. What is the LCM of 372 and 377?

The LCM of 372 and 377 is 140244.

2. How to find the lowest common multiple of 372 and 377?

To find the lowest common multiple of 372 and 377, we have to get the multip;es of both numbers and identify the least common multiple in them which is 140244.

3. What are the Factors of 372?

Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.

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 372 and 377 = 140244

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

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 = 140244 = 2 x 2 x 3 x 13 x 29 x 31

Step 4: Therefore, the least common multiple of 372 and 377 is 140244.