Given Numbers are 146, 151

We can find the LCM of 146, 151 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 146 and 151

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

Multiples of 151 =151,302,453,604,755,906,1057,1208,1359,1510,1661,1812,1963,2114,2265,2416,2567,

Now, get the least common multiple of 146, 151 which is 22046

So, the LCM of 146, 151 is 22046.

One method for determining the LCM of 146 and 151 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 146's prime factorization:

Prime factors of 146 are 2,73.

146 = 2¹×73¹

And this is 151's prime factorization:

Prime factors of 151 are 151.

151 = 151¹

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: 2,73,151

2¹×73¹×151¹ = 22046

This shows that the LCM of 146 and 151 is 22046.

The first step in determining the Least Common Multiple of 146 and 151 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 146 and 151:

Lets look at the first ten multiples of these numbers, 146 and 151:

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

151,302,453,604,755,906,1057,1208,1359,2567 are the first ten multiples of 151.

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 146 and 151, for example, are 1752, 2482, and 2416. 22046 is the least common multiple since it is the smallest.

146 and 151 have an LCM of 22046.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 151, than apply into the LCM equation.

GCF(146,151) = 1
LCM(146,151) = ( 146 × 151) / 1
LCM(146,151) = 22046 / 1
LCM(146,151) = 22046

1. What is the LCM of 146 and 151?

The LCM of 146 and 151 is 22046.

2. How to find the lowest common multiple of 146 and 151?

To find the lowest common multiple of 146 and 151, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22046.

3. 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.

4. What are the Factors of 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

Answer:

Least Common Multiple of 146 and 151 = 22046

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 151

151 = 151

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

LCM = 22046 = 2 x 73 x 151

Step 4: Therefore, the least common multiple of 146 and 151 is 22046.