Given Numbers are 332, 340

We can find the LCM of 332, 340 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 332 and 340

Multiples of 332 =332,664,996,1328,1660,1992,2324,2656,2988,3320,3652,3984,4316,4648,4980,5312,5644,

Multiples of 340 =340,680,1020,1360,1700,2040,2380,2720,3060,3400,3740,4080,4420,4760,5100,5440,5780,

Now, get the least common multiple of 332, 340 which is 28220

So, the LCM of 332, 340 is 28220.

One method for determining the LCM of 332 and 340 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 332's prime factorization:

Prime factors of 332 are 2,83.

332 = 2²×83¹

And this is 340's prime factorization:

Prime factors of 340 are 2, 5,17.

340 = 2²×5¹×17¹

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: 2,83, 5,17

2²×5¹×17¹×83¹ = 28220

This shows that the LCM of 332 and 340 is 28220.

The first step in determining the Least Common Multiple of 332 and 340 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 332 and 340:

Lets look at the first ten multiples of these numbers, 332 and 340:

332,664,996,1328,1660,1992,2324,2656,2988,5644 are the first ten multiples of 332.

340,680,1020,1360,1700,2040,2380,2720,3060,5780 are the first ten multiples of 340.

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 332 and 340, for example, are 3984, 5644, and 5440. 28220 is the least common multiple since it is the smallest.

332 and 340 have an LCM of 28220.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 332 and 340, than apply into the LCM equation.

GCF(332,340) = 4
LCM(332,340) = ( 332 × 340) / 4
LCM(332,340) = 112880 / 4
LCM(332,340) = 28220

1. What is the LCM of 332 and 340?

The LCM of 332 and 340 is 28220.

2. How to find the lowest common multiple of 332 and 340?

To find the lowest common multiple of 332 and 340, we have to get the multip;es of both numbers and identify the least common multiple in them which is 28220.

3. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. What are the Factors of 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

Answer:

Least Common Multiple of 332 and 340 = 28220

Step 1: Find the prime factorization of 332

332 = 2 x 2 x 83

Step 2: Find the prime factorization of 340

340 = 2 x 2 x 5 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 = 28220 = 2 x 2 x 5 x 17 x 83

Step 4: Therefore, the least common multiple of 332 and 340 is 28220.