Given Numbers are 348, 354

We can find the LCM of 348, 354 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 348 and 354

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

Multiples of 354 =354,708,1062,1416,1770,2124,2478,2832,3186,3540,3894,4248,4602,4956,5310,5664,6018,

Now, get the least common multiple of 348, 354 which is 20532

So, the LCM of 348, 354 is 20532.

One method for determining the LCM of 348 and 354 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 348's prime factorization:

Prime factors of 348 are 2, 3,29.

348 = 2²×3¹×29¹

And this is 354's prime factorization:

Prime factors of 354 are 2, 3,59.

354 = 2¹×3¹×59¹

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, 3,29,59

2²×3¹×29¹×59¹ = 20532

This shows that the LCM of 348 and 354 is 20532.

The first step in determining the Least Common Multiple of 348 and 354 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 348 and 354:

Lets look at the first ten multiples of these numbers, 348 and 354:

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

354,708,1062,1416,1770,2124,2478,2832,3186,6018 are the first ten multiples of 354.

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 348 and 354, for example, are 4176, 5916, and 5664. 20532 is the least common multiple since it is the smallest.

348 and 354 have an LCM of 20532.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 348 and 354, than apply into the LCM equation.

GCF(348,354) = 6
LCM(348,354) = ( 348 × 354) / 6
LCM(348,354) = 123192 / 6
LCM(348,354) = 20532

1. What is the LCM of 348 and 354?

The LCM of 348 and 354 is 20532.

2. How to find the lowest common multiple of 348 and 354?

To find the lowest common multiple of 348 and 354, we have to get the multip;es of both numbers and identify the least common multiple in them which is 20532.

3. 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.

4. What are the Factors of 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

Answer:

Least Common Multiple of 348 and 354 = 20532

Step 1: Find the prime factorization of 348

348 = 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 354

354 = 2 x 3 x 59

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

LCM = 20532 = 2 x 2 x 3 x 29 x 59

Step 4: Therefore, the least common multiple of 348 and 354 is 20532.