Given Numbers are 154, 158

We can find the LCM of 154, 158 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 154 and 158

Multiples of 154 =154,308,462,616,770,924,1078,1232,1386,1540,1694,1848,2002,2156,2310,2464,2618,

Multiples of 158 =158,316,474,632,790,948,1106,1264,1422,1580,1738,1896,2054,2212,2370,2528,2686,

Now, get the least common multiple of 154, 158 which is 12166

So, the LCM of 154, 158 is 12166.

One method for determining the LCM of 154 and 158 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 154's prime factorization:

Prime factors of 154 are 2, 7,11.

154 = 2¹×7¹×11¹

And this is 158's prime factorization:

Prime factors of 158 are 2,79.

158 = 2¹×79¹

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, 7,11,79

2¹×7¹×11¹×79¹ = 12166

This shows that the LCM of 154 and 158 is 12166.

The first step in determining the Least Common Multiple of 154 and 158 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 154 and 158:

Lets look at the first ten multiples of these numbers, 154 and 158:

154,308,462,616,770,924,1078,1232,1386,2618 are the first ten multiples of 154.

158,316,474,632,790,948,1106,1264,1422,2686 are the first ten multiples of 158.

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 154 and 158, for example, are 1848, 2618, and 2528. 12166 is the least common multiple since it is the smallest.

154 and 158 have an LCM of 12166.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 154 and 158, than apply into the LCM equation.

GCF(154,158) = 2
LCM(154,158) = ( 154 × 158) / 2
LCM(154,158) = 24332 / 2
LCM(154,158) = 12166

1. What is the LCM of 154 and 158?

The LCM of 154 and 158 is 12166.

2. How to find the lowest common multiple of 154 and 158?

To find the lowest common multiple of 154 and 158, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12166.

3. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. What are the Factors of 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

Answer:

Least Common Multiple of 154 and 158 = 12166

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 158

158 = 2 x 79

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

LCM = 12166 = 2 x 7 x 11 x 79

Step 4: Therefore, the least common multiple of 154 and 158 is 12166.