Given Numbers are 420, 424

We can find the LCM of 420, 424 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 420 and 424

Multiples of 420 =420,840,1260,1680,2100,2520,2940,3360,3780,4200,4620,5040,5460,5880,6300,6720,7140,

Multiples of 424 =424,848,1272,1696,2120,2544,2968,3392,3816,4240,4664,5088,5512,5936,6360,6784,7208,

Now, get the least common multiple of 420, 424 which is 44520

So, the LCM of 420, 424 is 44520.

One method for determining the LCM of 420 and 424 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 420's prime factorization:

Prime factors of 420 are 2, 3, 5,7.

420 = 2²×3¹×5¹×7¹

And this is 424's prime factorization:

Prime factors of 424 are 2,53.

424 = 2³×53¹

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, 5,7,53

2³×3¹×5¹×7¹×53¹ = 44520

This shows that the LCM of 420 and 424 is 44520.

The first step in determining the Least Common Multiple of 420 and 424 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 420 and 424:

Lets look at the first ten multiples of these numbers, 420 and 424:

420,840,1260,1680,2100,2520,2940,3360,3780,7140 are the first ten multiples of 420.

424,848,1272,1696,2120,2544,2968,3392,3816,7208 are the first ten multiples of 424.

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 420 and 424, for example, are 5040, 7140, and 6784. 44520 is the least common multiple since it is the smallest.

420 and 424 have an LCM of 44520.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 420 and 424, than apply into the LCM equation.

GCF(420,424) = 4
LCM(420,424) = ( 420 × 424) / 4
LCM(420,424) = 178080 / 4
LCM(420,424) = 44520

1. What is the LCM of 420 and 424?

The LCM of 420 and 424 is 44520.

2. How to find the lowest common multiple of 420 and 424?

To find the lowest common multiple of 420 and 424, we have to get the multip;es of both numbers and identify the least common multiple in them which is 44520.

3. What are the Factors of 420?

Answer: Factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420. There are 24 integers that are factors of 420. The greatest factor of 420 is 420.

4. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

Answer:

Least Common Multiple of 420 and 424 = 44520

Step 1: Find the prime factorization of 420

420 = 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

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

LCM = 44520 = 2 x 2 x 2 x 3 x 5 x 7 x 53

Step 4: Therefore, the least common multiple of 420 and 424 is 44520.