Given Numbers are 370, 374

We can find the LCM of 370, 374 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 370 and 374

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

Multiples of 374 =374,748,1122,1496,1870,2244,2618,2992,3366,3740,4114,4488,4862,5236,5610,5984,6358,

Now, get the least common multiple of 370, 374 which is 69190

So, the LCM of 370, 374 is 69190.

One method for determining the LCM of 370 and 374 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 374's prime factorization:

Prime factors of 374 are 2, 11,17.

374 = 2¹×11¹×17¹

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, 11,17

2¹×5¹×11¹×17¹×37¹ = 69190

This shows that the LCM of 370 and 374 is 69190.

The first step in determining the Least Common Multiple of 370 and 374 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 370 and 374:

Lets look at the first ten multiples of these numbers, 370 and 374:

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

374,748,1122,1496,1870,2244,2618,2992,3366,6358 are the first ten multiples of 374.

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 374, for example, are 4440, 6290, and 5984. 69190 is the least common multiple since it is the smallest.

370 and 374 have an LCM of 69190.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 370 and 374, than apply into the LCM equation.

GCF(370,374) = 2
LCM(370,374) = ( 370 × 374) / 2
LCM(370,374) = 138380 / 2
LCM(370,374) = 69190

1. What is the LCM of 370 and 374?

The LCM of 370 and 374 is 69190.

2. How to find the lowest common multiple of 370 and 374?

To find the lowest common multiple of 370 and 374, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69190.

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 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

Answer:

Least Common Multiple of 370 and 374 = 69190

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

Step 2: Find the prime factorization of 374

374 = 2 x 11 x 17

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

LCM = 69190 = 2 x 5 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 370 and 374 is 69190.