Given Numbers are 336, 340

We can find the LCM of 336, 340 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 336 and 340

Multiples of 336 =336,672,1008,1344,1680,2016,2352,2688,3024,3360,3696,4032,4368,4704,5040,5376,5712,

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 336, 340 which is 28560

So, the LCM of 336, 340 is 28560.

One method for determining the LCM of 336 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 336's prime factorization:

Prime factors of 336 are 2, 3,7.

336 = 2⁴×3¹×7¹

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, 3,7, 5,17

2⁴×3¹×5¹×7¹×17¹ = 28560

This shows that the LCM of 336 and 340 is 28560.

The first step in determining the Least Common Multiple of 336 and 340 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 336 and 340:

Lets look at the first ten multiples of these numbers, 336 and 340:

336,672,1008,1344,1680,2016,2352,2688,3024,5712 are the first ten multiples of 336.

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 336 and 340, for example, are 4032, 5712, and 5440. 28560 is the least common multiple since it is the smallest.

336 and 340 have an LCM of 28560.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 336 and 340, than apply into the LCM equation.

GCF(336,340) = 4
LCM(336,340) = ( 336 × 340) / 4
LCM(336,340) = 114240 / 4
LCM(336,340) = 28560

1. What is the LCM of 336 and 340?

The LCM of 336 and 340 is 28560.

2. How to find the lowest common multiple of 336 and 340?

To find the lowest common multiple of 336 and 340, we have to get the multip;es of both numbers and identify the least common multiple in them which is 28560.

3. What are the Factors of 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

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 336 and 340 = 28560

Step 1: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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 = 28560 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 336 and 340 is 28560.