Given Numbers are 136, 141

We can find the LCM of 136, 141 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 136 and 141

Multiples of 136 =136,272,408,544,680,816,952,1088,1224,1360,1496,1632,1768,1904,2040,2176,2312,

Multiples of 141 =141,282,423,564,705,846,987,1128,1269,1410,1551,1692,1833,1974,2115,2256,2397,

Now, get the least common multiple of 136, 141 which is 19176

So, the LCM of 136, 141 is 19176.

One method for determining the LCM of 136 and 141 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 136's prime factorization:

Prime factors of 136 are 2,17.

136 = 2³×17¹

And this is 141's prime factorization:

Prime factors of 141 are 3,47.

141 = 3¹×47¹

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: 2,17, 3,47

2³×3¹×17¹×47¹ = 19176

This shows that the LCM of 136 and 141 is 19176.

The first step in determining the Least Common Multiple of 136 and 141 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 136 and 141:

Lets look at the first ten multiples of these numbers, 136 and 141:

136,272,408,544,680,816,952,1088,1224,2312 are the first ten multiples of 136.

141,282,423,564,705,846,987,1128,1269,2397 are the first ten multiples of 141.

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 136 and 141, for example, are 1632, 2312, and 2256. 19176 is the least common multiple since it is the smallest.

136 and 141 have an LCM of 19176.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 141, than apply into the LCM equation.

GCF(136,141) = 1
LCM(136,141) = ( 136 × 141) / 1
LCM(136,141) = 19176 / 1
LCM(136,141) = 19176

1. What is the LCM of 136 and 141?

The LCM of 136 and 141 is 19176.

2. How to find the lowest common multiple of 136 and 141?

To find the lowest common multiple of 136 and 141, we have to get the multip;es of both numbers and identify the least common multiple in them which is 19176.

3. What are the Factors of 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

4. What are the Factors of 141?

Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.

Answer:

Least Common Multiple of 136 and 141 = 19176

Step 1: Find the prime factorization of 136

136 = 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 141

141 = 3 x 47

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

LCM = 19176 = 2 x 2 x 2 x 3 x 17 x 47

Step 4: Therefore, the least common multiple of 136 and 141 is 19176.