Given Numbers are 154, 160

We can find the LCM of 154, 160 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 154 and 160

Multiples of 154 =154,308,462,616,770,924,1078,1232,1386,1540,1694,1848,2002,2156,2310,2464,2618,

Multiples of 160 =160,320,480,640,800,960,1120,1280,1440,1600,1760,1920,2080,2240,2400,2560,2720,

Now, get the least common multiple of 154, 160 which is 12320

So, the LCM of 154, 160 is 12320.

One method for determining the LCM of 154 and 160 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 154's prime factorization:

Prime factors of 154 are 2, 7,11.

154 = 2¹×7¹×11¹

And this is 160's prime factorization:

Prime factors of 160 are 2,5.

160 = 2⁵×5¹

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, 7,11,5

2⁵×5¹×7¹×11¹ = 12320

This shows that the LCM of 154 and 160 is 12320.

The first step in determining the Least Common Multiple of 154 and 160 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 154 and 160:

Lets look at the first ten multiples of these numbers, 154 and 160:

154,308,462,616,770,924,1078,1232,1386,2618 are the first ten multiples of 154.

160,320,480,640,800,960,1120,1280,1440,2720 are the first ten multiples of 160.

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 154 and 160, for example, are 1848, 2618, and 2560. 12320 is the least common multiple since it is the smallest.

154 and 160 have an LCM of 12320.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 154 and 160, than apply into the LCM equation.

GCF(154,160) = 2
LCM(154,160) = ( 154 × 160) / 2
LCM(154,160) = 24640 / 2
LCM(154,160) = 12320

1. What is the LCM of 154 and 160?

The LCM of 154 and 160 is 12320.

2. How to find the lowest common multiple of 154 and 160?

To find the lowest common multiple of 154 and 160, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12320.

3. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

Answer:

Least Common Multiple of 154 and 160 = 12320

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 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 = 12320 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 154 and 160 is 12320.