LCM of 355 and 363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 355 and 363 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 128865 as output. Here you can check the answer for Find the LCM of 355 and 363.
What is LCM of 355 and 363
Given Numbers are 355, 363
We can find the LCM of 355, 363 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 355 and 363
Multiples of 355 =355,710,1065,1420,1775,2130,2485,2840,3195,3550,3905,4260,4615,4970,5325,5680,6035,
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 355, 363 which is 128865
So, the LCM of 355, 363 is 128865.
Least Common Multiple (LCM) of 355 and 363 with the help of Prime Factorisation
One method for determining the LCM of 355 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 355's prime factorization:
| 5 | 355 |
| 71 | 71 |
| 1 |
Prime factors of 355 are 5,71.
355 = 51×711
And this is 363's prime factorization:
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
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: 5,71, 3,11
.31×51×112×711 = 128865
This shows that the LCM of 355 and 363 is 128865.
How to Calculate the LCM of 355 and 363 Using Common Multiples
The first step in determining the Least Common Multiple of 355 and 363 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 355 and 363:
Lets look at the first ten multiples of these numbers, 355 and 363:
355,710,1065,1420,1775,2130,2485,2840,3195,6035 are the first ten multiples of 355.
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 355 and 363, for example, are 4260, 6035, and 5808. 128865 is the least common multiple since it is the smallest.
355 and 363 have an LCM of 128865.
Least Common Multiple of 355 and 363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 355 and 363, than apply into the LCM equation.
GCF(355,363) = 1
LCM(355,363) = ( 355 × 363) / 1
LCM(355,363) = 128865 / 1
LCM(355,363) = 128865
Related Least Common Multiples of 355
Related Least Common Multiples of 363
Frequently Asked Questions on LCM of 355 and 363
1. What is the LCM of 355 and 363?
The LCM of 355 and 363 is 128865.
2. How to find the lowest common multiple of 355 and 363?
To find the lowest common multiple of 355 and 363, we have to get the multip;es of both numbers and identify the least common multiple in them which is 128865.
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 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.
5. How to Find the LCM of 355 and 363?Answer:
Least Common Multiple of 355 and 363 = 128865
Step 1: Find the prime factorization of 355
355 = 5 x 71
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 = 128865 = 3 x 5 x 11 x 11 x 71
Step 4: Therefore, the least common multiple of 355 and 363 is 128865.