Given Numbers are 340, 346

We can find the LCM of 340, 346 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 340 and 346

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

Multiples of 346 =346,692,1038,1384,1730,2076,2422,2768,3114,3460,3806,4152,4498,4844,5190,5536,5882,

Now, get the least common multiple of 340, 346 which is 58820

So, the LCM of 340, 346 is 58820.

One method for determining the LCM of 340 and 346 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 346's prime factorization:

Prime factors of 346 are 2,173.

346 = 2¹×173¹

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, 5,17,173

2²×5¹×17¹×173¹ = 58820

This shows that the LCM of 340 and 346 is 58820.

The first step in determining the Least Common Multiple of 340 and 346 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 340 and 346:

Lets look at the first ten multiples of these numbers, 340 and 346:

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

346,692,1038,1384,1730,2076,2422,2768,3114,5882 are the first ten multiples of 346.

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 346, for example, are 4080, 5780, and 5536. 58820 is the least common multiple since it is the smallest.

340 and 346 have an LCM of 58820.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 340 and 346, than apply into the LCM equation.

GCF(340,346) = 2
LCM(340,346) = ( 340 × 346) / 2
LCM(340,346) = 117640 / 2
LCM(340,346) = 58820

1. What is the LCM of 340 and 346?

The LCM of 340 and 346 is 58820.

2. How to find the lowest common multiple of 340 and 346?

To find the lowest common multiple of 340 and 346, we have to get the multip;es of both numbers and identify the least common multiple in them which is 58820.

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 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

Answer:

Least Common Multiple of 340 and 346 = 58820

Step 1: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 346

346 = 2 x 173

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

LCM = 58820 = 2 x 2 x 5 x 17 x 173

Step 4: Therefore, the least common multiple of 340 and 346 is 58820.