Given Numbers are 146, 150

We can find the LCM of 146, 150 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 146 and 150

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

Multiples of 150 =150,300,450,600,750,900,1050,1200,1350,1500,1650,1800,1950,2100,2250,2400,2550,

Now, get the least common multiple of 146, 150 which is 10950

So, the LCM of 146, 150 is 10950.

One method for determining the LCM of 146 and 150 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 150's prime factorization:

Prime factors of 150 are 2, 3,5.

150 = 2¹×3¹×5²

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, 3,5

2¹×3¹×5²×73¹ = 10950

This shows that the LCM of 146 and 150 is 10950.

The first step in determining the Least Common Multiple of 146 and 150 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 146 and 150:

Lets look at the first ten multiples of these numbers, 146 and 150:

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

150,300,450,600,750,900,1050,1200,1350,2550 are the first ten multiples of 150.

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 150, for example, are 1752, 2482, and 2400. 10950 is the least common multiple since it is the smallest.

146 and 150 have an LCM of 10950.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 150, than apply into the LCM equation.

GCF(146,150) = 2
LCM(146,150) = ( 146 × 150) / 2
LCM(146,150) = 21900 / 2
LCM(146,150) = 10950

1. What is the LCM of 146 and 150?

The LCM of 146 and 150 is 10950.

2. How to find the lowest common multiple of 146 and 150?

To find the lowest common multiple of 146 and 150, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10950.

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 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

Answer:

Least Common Multiple of 146 and 150 = 10950

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

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

LCM = 10950 = 2 x 3 x 5 x 5 x 73

Step 4: Therefore, the least common multiple of 146 and 150 is 10950.