Given Numbers are 356, 363

We can find the LCM of 356, 363 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 356 and 363

Multiples of 356 =356,712,1068,1424,1780,2136,2492,2848,3204,3560,3916,4272,4628,4984,5340,5696,6052,

Multiples of 363 =363,726,1089,1452,1815,2178,2541,2904,3267,3630,3993,4356,4719,5082,5445,5808,6171,

Now, get the least common multiple of 356, 363 which is 129228

So, the LCM of 356, 363 is 129228.

One method for determining the LCM of 356 and 363 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 356's prime factorization:

Prime factors of 356 are 2,89.

356 = 2²×89¹

And this is 363's prime factorization:

Prime factors of 363 are 3,11.

363 = 3¹×11²

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: 2,89, 3,11

2²×3¹×11²×89¹ = 129228

This shows that the LCM of 356 and 363 is 129228.

The first step in determining the Least Common Multiple of 356 and 363 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 356 and 363:

Lets look at the first ten multiples of these numbers, 356 and 363:

356,712,1068,1424,1780,2136,2492,2848,3204,6052 are the first ten multiples of 356.

363,726,1089,1452,1815,2178,2541,2904,3267,6171 are the first ten multiples of 363.

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 356 and 363, for example, are 4272, 6052, and 5808. 129228 is the least common multiple since it is the smallest.

356 and 363 have an LCM of 129228.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 363, than apply into the LCM equation.

GCF(356,363) = 1
LCM(356,363) = ( 356 × 363) / 1
LCM(356,363) = 129228 / 1
LCM(356,363) = 129228

1. What is the LCM of 356 and 363?

The LCM of 356 and 363 is 129228.

2. How to find the lowest common multiple of 356 and 363?

To find the lowest common multiple of 356 and 363, we have to get the multip;es of both numbers and identify the least common multiple in them which is 129228.

3. What are the Factors of 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

4. What are the Factors of 363?

Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.

Answer:

Least Common Multiple of 356 and 363 = 129228

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 363

363 = 3 x 11 x 11

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

LCM = 129228 = 2 x 2 x 3 x 11 x 11 x 89

Step 4: Therefore, the least common multiple of 356 and 363 is 129228.