Given Numbers are 147, 152

We can find the LCM of 147, 152 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 147 and 152

Multiples of 147 =147,294,441,588,735,882,1029,1176,1323,1470,1617,1764,1911,2058,2205,2352,2499,

Multiples of 152 =152,304,456,608,760,912,1064,1216,1368,1520,1672,1824,1976,2128,2280,2432,2584,

Now, get the least common multiple of 147, 152 which is 22344

So, the LCM of 147, 152 is 22344.

One method for determining the LCM of 147 and 152 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 147's prime factorization:

Prime factors of 147 are 3,7.

147 = 3¹×7²

And this is 152's prime factorization:

Prime factors of 152 are 2,19.

152 = 2³×19¹

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: 3,7, 2,19

2³×3¹×7²×19¹ = 22344

This shows that the LCM of 147 and 152 is 22344.

The first step in determining the Least Common Multiple of 147 and 152 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 147 and 152:

Lets look at the first ten multiples of these numbers, 147 and 152:

147,294,441,588,735,882,1029,1176,1323,2499 are the first ten multiples of 147.

152,304,456,608,760,912,1064,1216,1368,2584 are the first ten multiples of 152.

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 147 and 152, for example, are 1764, 2499, and 2432. 22344 is the least common multiple since it is the smallest.

147 and 152 have an LCM of 22344.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 147 and 152, than apply into the LCM equation.

GCF(147,152) = 1
LCM(147,152) = ( 147 × 152) / 1
LCM(147,152) = 22344 / 1
LCM(147,152) = 22344

1. What is the LCM of 147 and 152?

The LCM of 147 and 152 is 22344.

2. How to find the lowest common multiple of 147 and 152?

To find the lowest common multiple of 147 and 152, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22344.

3. What are the Factors of 147?

Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.

4. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

Answer:

Least Common Multiple of 147 and 152 = 22344

Step 1: Find the prime factorization of 147

147 = 3 x 7 x 7

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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

LCM = 22344 = 2 x 2 x 2 x 3 x 7 x 7 x 19

Step 4: Therefore, the least common multiple of 147 and 152 is 22344.