Given Numbers are 318, 325

We can find the LCM of 318, 325 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 318 and 325

Multiples of 318 =318,636,954,1272,1590,1908,2226,2544,2862,3180,3498,3816,4134,4452,4770,5088,5406,

Multiples of 325 =325,650,975,1300,1625,1950,2275,2600,2925,3250,3575,3900,4225,4550,4875,5200,5525,

Now, get the least common multiple of 318, 325 which is 103350

So, the LCM of 318, 325 is 103350.

One method for determining the LCM of 318 and 325 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 318's prime factorization:

Prime factors of 318 are 2, 3,53.

318 = 2¹×3¹×53¹

And this is 325's prime factorization:

Prime factors of 325 are 5,13.

325 = 5²×13¹

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, 3,53, 5,13

2¹×3¹×5²×13¹×53¹ = 103350

This shows that the LCM of 318 and 325 is 103350.

The first step in determining the Least Common Multiple of 318 and 325 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 318 and 325:

Lets look at the first ten multiples of these numbers, 318 and 325:

318,636,954,1272,1590,1908,2226,2544,2862,5406 are the first ten multiples of 318.

325,650,975,1300,1625,1950,2275,2600,2925,5525 are the first ten multiples of 325.

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 318 and 325, for example, are 3816, 5406, and 5200. 103350 is the least common multiple since it is the smallest.

318 and 325 have an LCM of 103350.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 318 and 325, than apply into the LCM equation.

GCF(318,325) = 1
LCM(318,325) = ( 318 × 325) / 1
LCM(318,325) = 103350 / 1
LCM(318,325) = 103350

1. What is the LCM of 318 and 325?

The LCM of 318 and 325 is 103350.

2. How to find the lowest common multiple of 318 and 325?

To find the lowest common multiple of 318 and 325, we have to get the multip;es of both numbers and identify the least common multiple in them which is 103350.

3. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

4. What are the Factors of 325?

Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.

Answer:

Least Common Multiple of 318 and 325 = 103350

Step 1: Find the prime factorization of 318

318 = 2 x 3 x 53

Step 2: Find the prime factorization of 325

325 = 5 x 5 x 13

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

LCM = 103350 = 2 x 3 x 5 x 5 x 13 x 53

Step 4: Therefore, the least common multiple of 318 and 325 is 103350.