Given Numbers are 280, 286

We can find the LCM of 280, 286 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 280 and 286

Multiples of 280 =280,560,840,1120,1400,1680,1960,2240,2520,2800,3080,3360,3640,3920,4200,4480,4760,

Multiples of 286 =286,572,858,1144,1430,1716,2002,2288,2574,2860,3146,3432,3718,4004,4290,4576,4862,

Now, get the least common multiple of 280, 286 which is 40040

So, the LCM of 280, 286 is 40040.

One method for determining the LCM of 280 and 286 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 280's prime factorization:

Prime factors of 280 are 2, 5,7.

280 = 2³×5¹×7¹

And this is 286's prime factorization:

Prime factors of 286 are 2, 11,13.

286 = 2¹×11¹×13¹

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, 5,7, 11,13

2³×5¹×7¹×11¹×13¹ = 40040

This shows that the LCM of 280 and 286 is 40040.

The first step in determining the Least Common Multiple of 280 and 286 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 280 and 286:

Lets look at the first ten multiples of these numbers, 280 and 286:

280,560,840,1120,1400,1680,1960,2240,2520,4760 are the first ten multiples of 280.

286,572,858,1144,1430,1716,2002,2288,2574,4862 are the first ten multiples of 286.

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 280 and 286, for example, are 3360, 4760, and 4576. 40040 is the least common multiple since it is the smallest.

280 and 286 have an LCM of 40040.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 280 and 286, than apply into the LCM equation.

GCF(280,286) = 2
LCM(280,286) = ( 280 × 286) / 2
LCM(280,286) = 80080 / 2
LCM(280,286) = 40040

1. What is the LCM of 280 and 286?

The LCM of 280 and 286 is 40040.

2. How to find the lowest common multiple of 280 and 286?

To find the lowest common multiple of 280 and 286, we have to get the multip;es of both numbers and identify the least common multiple in them which is 40040.

3. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

4. What are the Factors of 286?

Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.

Answer:

Least Common Multiple of 280 and 286 = 40040

Step 1: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 286

286 = 2 x 11 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 = 40040 = 2 x 2 x 2 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 280 and 286 is 40040.