Given Numbers are 252, 260

We can find the LCM of 252, 260 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 252 and 260

Multiples of 252 =252,504,756,1008,1260,1512,1764,2016,2268,2520,2772,3024,3276,3528,3780,4032,4284,

Multiples of 260 =260,520,780,1040,1300,1560,1820,2080,2340,2600,2860,3120,3380,3640,3900,4160,4420,

Now, get the least common multiple of 252, 260 which is 16380

So, the LCM of 252, 260 is 16380.

One method for determining the LCM of 252 and 260 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 252's prime factorization:

Prime factors of 252 are 2, 3,7.

252 = 2²×3²×7¹

And this is 260's prime factorization:

Prime factors of 260 are 2, 5,13.

260 = 2²×5¹×13¹

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, 3,7, 5,13

2²×3²×5¹×7¹×13¹ = 16380

This shows that the LCM of 252 and 260 is 16380.

The first step in determining the Least Common Multiple of 252 and 260 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 252 and 260:

Lets look at the first ten multiples of these numbers, 252 and 260:

252,504,756,1008,1260,1512,1764,2016,2268,4284 are the first ten multiples of 252.

260,520,780,1040,1300,1560,1820,2080,2340,4420 are the first ten multiples of 260.

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 252 and 260, for example, are 3024, 4284, and 4160. 16380 is the least common multiple since it is the smallest.

252 and 260 have an LCM of 16380.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 260, than apply into the LCM equation.

GCF(252,260) = 4
LCM(252,260) = ( 252 × 260) / 4
LCM(252,260) = 65520 / 4
LCM(252,260) = 16380

1. What is the LCM of 252 and 260?

The LCM of 252 and 260 is 16380.

2. How to find the lowest common multiple of 252 and 260?

To find the lowest common multiple of 252 and 260, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16380.

3. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

4. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

Answer:

Least Common Multiple of 252 and 260 = 16380

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 260

260 = 2 x 2 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 = 16380 = 2 x 2 x 3 x 3 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 252 and 260 is 16380.