Given Numbers are 141, 146

We can find the LCM of 141, 146 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 141 and 146

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

Multiples of 146 =146,292,438,584,730,876,1022,1168,1314,1460,1606,1752,1898,2044,2190,2336,2482,

Now, get the least common multiple of 141, 146 which is 20586

So, the LCM of 141, 146 is 20586.

One method for determining the LCM of 141 and 146 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 141's prime factorization:

Prime factors of 141 are 3,47.

141 = 3¹×47¹

And this is 146's prime factorization:

Prime factors of 146 are 2,73.

146 = 2¹×73¹

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: 3,47, 2,73

2¹×3¹×47¹×73¹ = 20586

This shows that the LCM of 141 and 146 is 20586.

The first step in determining the Least Common Multiple of 141 and 146 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 141 and 146:

Lets look at the first ten multiples of these numbers, 141 and 146:

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

146,292,438,584,730,876,1022,1168,1314,2482 are the first ten multiples of 146.

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 141 and 146, for example, are 1692, 2397, and 2336. 20586 is the least common multiple since it is the smallest.

141 and 146 have an LCM of 20586.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 141 and 146, than apply into the LCM equation.

GCF(141,146) = 1
LCM(141,146) = ( 141 × 146) / 1
LCM(141,146) = 20586 / 1
LCM(141,146) = 20586

1. What is the LCM of 141 and 146?

The LCM of 141 and 146 is 20586.

2. How to find the lowest common multiple of 141 and 146?

To find the lowest common multiple of 141 and 146, we have to get the multip;es of both numbers and identify the least common multiple in them which is 20586.

3. 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.

4. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

Answer:

Least Common Multiple of 141 and 146 = 20586

Step 1: Find the prime factorization of 141

141 = 3 x 47

Step 2: Find the prime factorization of 146

146 = 2 x 73

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

LCM = 20586 = 2 x 3 x 47 x 73

Step 4: Therefore, the least common multiple of 141 and 146 is 20586.