Given Numbers are 56, 61

We can find the LCM of 56, 61 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 56 and 61

Multiples of 56 =56,112,168,224,280,336,392,448,504,560,616,672,728,784,840,896,952,

Multiples of 61 =61,122,183,244,305,366,427,488,549,610,671,732,793,854,915,976,1037,

Now, get the least common multiple of 56, 61 which is 3416

So, the LCM of 56, 61 is 3416.

One method for determining the LCM of 56 and 61 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 56's prime factorization:

Prime factors of 56 are 2,7.

56 = 2³×7¹

And this is 61's prime factorization:

Prime factors of 61 are 61.

61 = 61¹

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: 2,7,61

2³×7¹×61¹ = 3416

This shows that the LCM of 56 and 61 is 3416.

The first step in determining the Least Common Multiple of 56 and 61 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 56 and 61:

Lets look at the first ten multiples of these numbers, 56 and 61:

56,112,168,224,280,336,392,448,504,952 are the first ten multiples of 56.

61,122,183,244,305,366,427,488,549,1037 are the first ten multiples of 61.

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 56 and 61, for example, are 672, 952, and 976. 3416 is the least common multiple since it is the smallest.

56 and 61 have an LCM of 3416.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56 and 61, than apply into the LCM equation.

GCF(56,61) = 1
LCM(56,61) = ( 56 × 61) / 1
LCM(56,61) = 3416 / 1
LCM(56,61) = 3416

1. What is the LCM of 56 and 61?

The LCM of 56 and 61 is 3416.

2. How to find the lowest common multiple of 56 and 61?

To find the lowest common multiple of 56 and 61, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3416.

3. What are the Factors of 56?

Answer: Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. There are 8 integers that are factors of 56. The greatest factor of 56 is 56.

4. What are the Factors of 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

Answer:

Least Common Multiple of 56 and 61 = 3416

Step 1: Find the prime factorization of 56

56 = 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 61

61 = 61

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

LCM = 3416 = 2 x 2 x 2 x 7 x 61

Step 4: Therefore, the least common multiple of 56 and 61 is 3416.