Given Numbers are 170, 178

We can find the LCM of 170, 178 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 170 and 178

Multiples of 170 =170,340,510,680,850,1020,1190,1360,1530,1700,1870,2040,2210,2380,2550,2720,2890,

Multiples of 178 =178,356,534,712,890,1068,1246,1424,1602,1780,1958,2136,2314,2492,2670,2848,3026,

Now, get the least common multiple of 170, 178 which is 15130

So, the LCM of 170, 178 is 15130.

One method for determining the LCM of 170 and 178 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 170's prime factorization:

Prime factors of 170 are 2, 5,17.

170 = 2¹×5¹×17¹

And this is 178's prime factorization:

Prime factors of 178 are 2,89.

178 = 2¹×89¹

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, 5,17,89

2¹×5¹×17¹×89¹ = 15130

This shows that the LCM of 170 and 178 is 15130.

The first step in determining the Least Common Multiple of 170 and 178 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 170 and 178:

Lets look at the first ten multiples of these numbers, 170 and 178:

170,340,510,680,850,1020,1190,1360,1530,2890 are the first ten multiples of 170.

178,356,534,712,890,1068,1246,1424,1602,3026 are the first ten multiples of 178.

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 170 and 178, for example, are 2040, 2890, and 2848. 15130 is the least common multiple since it is the smallest.

170 and 178 have an LCM of 15130.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 170 and 178, than apply into the LCM equation.

GCF(170,178) = 2
LCM(170,178) = ( 170 × 178) / 2
LCM(170,178) = 30260 / 2
LCM(170,178) = 15130

1. What is the LCM of 170 and 178?

The LCM of 170 and 178 is 15130.

2. How to find the lowest common multiple of 170 and 178?

To find the lowest common multiple of 170 and 178, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15130.

3. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

4. What are the Factors of 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

Answer:

Least Common Multiple of 170 and 178 = 15130

Step 1: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 2: Find the prime factorization of 178

178 = 2 x 89

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

LCM = 15130 = 2 x 5 x 17 x 89

Step 4: Therefore, the least common multiple of 170 and 178 is 15130.