Given Numbers are 340, 348

We can find the LCM of 340, 348 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 340 and 348

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

Multiples of 348 =348,696,1044,1392,1740,2088,2436,2784,3132,3480,3828,4176,4524,4872,5220,5568,5916,

Now, get the least common multiple of 340, 348 which is 29580

So, the LCM of 340, 348 is 29580.

One method for determining the LCM of 340 and 348 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 340's prime factorization:

Prime factors of 340 are 2, 5,17.

340 = 2²×5¹×17¹

And this is 348's prime factorization:

Prime factors of 348 are 2, 3,29.

348 = 2²×3¹×29¹

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, 5,17, 3,29

2²×3¹×5¹×17¹×29¹ = 29580

This shows that the LCM of 340 and 348 is 29580.

The first step in determining the Least Common Multiple of 340 and 348 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 340 and 348:

Lets look at the first ten multiples of these numbers, 340 and 348:

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

348,696,1044,1392,1740,2088,2436,2784,3132,5916 are the first ten multiples of 348.

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 340 and 348, for example, are 4080, 5780, and 5568. 29580 is the least common multiple since it is the smallest.

340 and 348 have an LCM of 29580.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 340 and 348, than apply into the LCM equation.

GCF(340,348) = 4
LCM(340,348) = ( 340 × 348) / 4
LCM(340,348) = 118320 / 4
LCM(340,348) = 29580

1. What is the LCM of 340 and 348?

The LCM of 340 and 348 is 29580.

2. How to find the lowest common multiple of 340 and 348?

To find the lowest common multiple of 340 and 348, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29580.

3. 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.

4. What are the Factors of 348?

Answer: Factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. There are 12 integers that are factors of 348. The greatest factor of 348 is 348.

Answer:

Least Common Multiple of 340 and 348 = 29580

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 348

348 = 2 x 2 x 3 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 = 29580 = 2 x 2 x 3 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 340 and 348 is 29580.