LCM of 355 and 360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 355 and 360 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 25560 as output. Here you can check the answer for Find the LCM of 355 and 360.
What is LCM of 355 and 360
Given Numbers are 355, 360
We can find the LCM of 355, 360 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 355 and 360
Multiples of 355 =355,710,1065,1420,1775,2130,2485,2840,3195,3550,3905,4260,4615,4970,5325,5680,6035,
Multiples of 360 =360,720,1080,1440,1800,2160,2520,2880,3240,3600,3960,4320,4680,5040,5400,5760,6120,
Now, get the least common multiple of 355, 360 which is 25560
So, the LCM of 355, 360 is 25560.
Least Common Multiple (LCM) of 355 and 360 with the help of Prime Factorisation
One method for determining the LCM of 355 and 360 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 360's prime factorization:
| 2 | 360 |
| 2 | 180 |
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 360 are 2, 3,5.
360 = 23×32×51
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: 5,71, 2,3
.23×32×51×711 = 25560
This shows that the LCM of 355 and 360 is 25560.
How to Calculate the LCM of 355 and 360 Using Common Multiples
The first step in determining the Least Common Multiple of 355 and 360 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 355 and 360:
Lets look at the first ten multiples of these numbers, 355 and 360:
355,710,1065,1420,1775,2130,2485,2840,3195,6035 are the first ten multiples of 355.
360,720,1080,1440,1800,2160,2520,2880,3240,6120 are the first ten multiples of 360.
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 360, for example, are 4260, 6035, and 5760. 25560 is the least common multiple since it is the smallest.
355 and 360 have an LCM of 25560.
Least Common Multiple of 355 and 360 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 360, than apply into the LCM equation.
GCF(355,360) = 5
LCM(355,360) = ( 355 × 360) / 5
LCM(355,360) = 127800 / 5
LCM(355,360) = 25560
Related Least Common Multiples of 355
Related Least Common Multiples of 360
Frequently Asked Questions on LCM of 355 and 360
1. What is the LCM of 355 and 360?
The LCM of 355 and 360 is 25560.
2. How to find the lowest common multiple of 355 and 360?
To find the lowest common multiple of 355 and 360, we have to get the multip;es of both numbers and identify the least common multiple in them which is 25560.
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 360?
Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.
5. How to Find the LCM of 355 and 360?Answer:
Least Common Multiple of 355 and 360 = 25560
Step 1: Find the prime factorization of 355
355 = 5 x 71
Step 2: Find the prime factorization of 360
360 = 2 x 2 x 2 x 3 x 3 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 = 25560 = 2 x 2 x 2 x 3 x 3 x 5 x 71
Step 4: Therefore, the least common multiple of 355 and 360 is 25560.