Given Numbers are 154, 161

We can find the LCM of 154, 161 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 154 and 161

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

Multiples of 161 =161,322,483,644,805,966,1127,1288,1449,1610,1771,1932,2093,2254,2415,2576,2737,

Now, get the least common multiple of 154, 161 which is 3542

So, the LCM of 154, 161 is 3542.

One method for determining the LCM of 154 and 161 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 161's prime factorization:

Prime factors of 161 are 7,23.

161 = 7¹×23¹

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, 7,11,23

2¹×7¹×11¹×23¹ = 3542

This shows that the LCM of 154 and 161 is 3542.

The first step in determining the Least Common Multiple of 154 and 161 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 154 and 161:

Lets look at the first ten multiples of these numbers, 154 and 161:

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

161,322,483,644,805,966,1127,1288,1449,2737 are the first ten multiples of 161.

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 161, for example, are 1848, 2618, and 2576. 3542 is the least common multiple since it is the smallest.

154 and 161 have an LCM of 3542.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 154 and 161, than apply into the LCM equation.

GCF(154,161) = 7
LCM(154,161) = ( 154 × 161) / 7
LCM(154,161) = 24794 / 7
LCM(154,161) = 3542

1. What is the LCM of 154 and 161?

The LCM of 154 and 161 is 3542.

2. How to find the lowest common multiple of 154 and 161?

To find the lowest common multiple of 154 and 161, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3542.

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 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

Answer:

Least Common Multiple of 154 and 161 = 3542

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 161

161 = 7 x 23

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

LCM = 3542 = 2 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 154 and 161 is 3542.