Given Numbers are 149, 155

We can find the LCM of 149, 155 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 149 and 155

Multiples of 149 =149,298,447,596,745,894,1043,1192,1341,1490,1639,1788,1937,2086,2235,2384,2533,

Multiples of 155 =155,310,465,620,775,930,1085,1240,1395,1550,1705,1860,2015,2170,2325,2480,2635,

Now, get the least common multiple of 149, 155 which is 23095

So, the LCM of 149, 155 is 23095.

One method for determining the LCM of 149 and 155 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 149's prime factorization:

Prime factors of 149 are 149.

149 = 149¹

And this is 155's prime factorization:

Prime factors of 155 are 5,31.

155 = 5¹×31¹

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:149, 5,31

5¹×31¹×149¹ = 23095

This shows that the LCM of 149 and 155 is 23095.

The first step in determining the Least Common Multiple of 149 and 155 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 149 and 155:

Lets look at the first ten multiples of these numbers, 149 and 155:

149,298,447,596,745,894,1043,1192,1341,2533 are the first ten multiples of 149.

155,310,465,620,775,930,1085,1240,1395,2635 are the first ten multiples of 155.

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 149 and 155, for example, are 1788, 2533, and 2480. 23095 is the least common multiple since it is the smallest.

149 and 155 have an LCM of 23095.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 149 and 155, than apply into the LCM equation.

GCF(149,155) = 1
LCM(149,155) = ( 149 × 155) / 1
LCM(149,155) = 23095 / 1
LCM(149,155) = 23095

1. What is the LCM of 149 and 155?

The LCM of 149 and 155 is 23095.

2. How to find the lowest common multiple of 149 and 155?

To find the lowest common multiple of 149 and 155, we have to get the multip;es of both numbers and identify the least common multiple in them which is 23095.

3. What are the Factors of 149?

Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.

4. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

Answer:

Least Common Multiple of 149 and 155 = 23095

Step 1: Find the prime factorization of 149

149 = 149

Step 2: Find the prime factorization of 155

155 = 5 x 31

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

LCM = 23095 = 5 x 31 x 149

Step 4: Therefore, the least common multiple of 149 and 155 is 23095.