Given Numbers are 355, 362

We can find the LCM of 355, 362 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 355 and 362

Multiples of 355 =355,710,1065,1420,1775,2130,2485,2840,3195,3550,3905,4260,4615,4970,5325,5680,6035,

Multiples of 362 =362,724,1086,1448,1810,2172,2534,2896,3258,3620,3982,4344,4706,5068,5430,5792,6154,

Now, get the least common multiple of 355, 362 which is 128510

So, the LCM of 355, 362 is 128510.

One method for determining the LCM of 355 and 362 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 355's prime factorization:

Prime factors of 355 are 5,71.

355 = 5¹×71¹

And this is 362's prime factorization:

Prime factors of 362 are 2,181.

362 = 2¹×181¹

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: 5,71, 2,181

2¹×5¹×71¹×181¹ = 128510

This shows that the LCM of 355 and 362 is 128510.

The first step in determining the Least Common Multiple of 355 and 362 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 355 and 362:

Lets look at the first ten multiples of these numbers, 355 and 362:

355,710,1065,1420,1775,2130,2485,2840,3195,6035 are the first ten multiples of 355.

362,724,1086,1448,1810,2172,2534,2896,3258,6154 are the first ten multiples of 362.

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 355 and 362, for example, are 4260, 6035, and 5792. 128510 is the least common multiple since it is the smallest.

355 and 362 have an LCM of 128510.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 355 and 362, than apply into the LCM equation.

GCF(355,362) = 1
LCM(355,362) = ( 355 × 362) / 1
LCM(355,362) = 128510 / 1
LCM(355,362) = 128510

1. What is the LCM of 355 and 362?

The LCM of 355 and 362 is 128510.

2. How to find the lowest common multiple of 355 and 362?

To find the lowest common multiple of 355 and 362, we have to get the multip;es of both numbers and identify the least common multiple in them which is 128510.

3. What are the Factors of 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

4. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

Answer:

Least Common Multiple of 355 and 362 = 128510

Step 1: Find the prime factorization of 355

355 = 5 x 71

Step 2: Find the prime factorization of 362

362 = 2 x 181

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

LCM = 128510 = 2 x 5 x 71 x 181

Step 4: Therefore, the least common multiple of 355 and 362 is 128510.