Given Numbers are 148, 154

We can find the LCM of 148, 154 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 148 and 154

Multiples of 148 =148,296,444,592,740,888,1036,1184,1332,1480,1628,1776,1924,2072,2220,2368,2516,

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

Now, get the least common multiple of 148, 154 which is 11396

So, the LCM of 148, 154 is 11396.

One method for determining the LCM of 148 and 154 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 148's prime factorization:

Prime factors of 148 are 2,37.

148 = 2²×37¹

And this is 154's prime factorization:

Prime factors of 154 are 2, 7,11.

154 = 2¹×7¹×11¹

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: 2,37, 7,11

2²×7¹×11¹×37¹ = 11396

This shows that the LCM of 148 and 154 is 11396.

The first step in determining the Least Common Multiple of 148 and 154 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 148 and 154:

Lets look at the first ten multiples of these numbers, 148 and 154:

148,296,444,592,740,888,1036,1184,1332,2516 are the first ten multiples of 148.

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

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 148 and 154, for example, are 1776, 2516, and 2464. 11396 is the least common multiple since it is the smallest.

148 and 154 have an LCM of 11396.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 148 and 154, than apply into the LCM equation.

GCF(148,154) = 2
LCM(148,154) = ( 148 × 154) / 2
LCM(148,154) = 22792 / 2
LCM(148,154) = 11396

1. What is the LCM of 148 and 154?

The LCM of 148 and 154 is 11396.

2. How to find the lowest common multiple of 148 and 154?

To find the lowest common multiple of 148 and 154, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11396.

3. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

4. 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.

Answer:

Least Common Multiple of 148 and 154 = 11396

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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

LCM = 11396 = 2 x 2 x 7 x 11 x 37

Step 4: Therefore, the least common multiple of 148 and 154 is 11396.