Given Numbers are 370, 376

We can find the LCM of 370, 376 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 370 and 376

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

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

Now, get the least common multiple of 370, 376 which is 69560

So, the LCM of 370, 376 is 69560.

One method for determining the LCM of 370 and 376 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 376's prime factorization:

Prime factors of 376 are 2,47.

376 = 2³×47¹

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, 5,37,47

2³×5¹×37¹×47¹ = 69560

This shows that the LCM of 370 and 376 is 69560.

The first step in determining the Least Common Multiple of 370 and 376 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 370 and 376:

Lets look at the first ten multiples of these numbers, 370 and 376:

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

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

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 376, for example, are 4440, 6290, and 6016. 69560 is the least common multiple since it is the smallest.

370 and 376 have an LCM of 69560.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 370 and 376, than apply into the LCM equation.

GCF(370,376) = 2
LCM(370,376) = ( 370 × 376) / 2
LCM(370,376) = 139120 / 2
LCM(370,376) = 69560

1. What is the LCM of 370 and 376?

The LCM of 370 and 376 is 69560.

2. How to find the lowest common multiple of 370 and 376?

To find the lowest common multiple of 370 and 376, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69560.

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 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.

Answer:

Least Common Multiple of 370 and 376 = 69560

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

Step 2: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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

LCM = 69560 = 2 x 2 x 2 x 5 x 37 x 47

Step 4: Therefore, the least common multiple of 370 and 376 is 69560.