LCM of 356 and 360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 356 and 360 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 32040 as output. Here you can check the answer for Find the LCM of 356 and 360.
What is LCM of 356 and 360
Given Numbers are 356, 360
We can find the LCM of 356, 360 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 356 and 360
Multiples of 356 =356,712,1068,1424,1780,2136,2492,2848,3204,3560,3916,4272,4628,4984,5340,5696,6052,
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 356, 360 which is 32040
So, the LCM of 356, 360 is 32040.
Least Common Multiple (LCM) of 356 and 360 with the help of Prime Factorisation
One method for determining the LCM of 356 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 356's prime factorization:
| 2 | 356 |
| 2 | 178 |
| 89 | 89 |
| 1 |
Prime factors of 356 are 2,89.
356 = 22×891
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: 2,89, 3,5
.23×32×51×891 = 32040
This shows that the LCM of 356 and 360 is 32040.
How to Calculate the LCM of 356 and 360 Using Common Multiples
The first step in determining the Least Common Multiple of 356 and 360 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 356 and 360:
Lets look at the first ten multiples of these numbers, 356 and 360:
356,712,1068,1424,1780,2136,2492,2848,3204,6052 are the first ten multiples of 356.
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 356 and 360, for example, are 4272, 6052, and 5760. 32040 is the least common multiple since it is the smallest.
356 and 360 have an LCM of 32040.
Least Common Multiple of 356 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 356 and 360, than apply into the LCM equation.
GCF(356,360) = 4
LCM(356,360) = ( 356 × 360) / 4
LCM(356,360) = 128160 / 4
LCM(356,360) = 32040
Related Least Common Multiples of 356
Related Least Common Multiples of 360
Frequently Asked Questions on LCM of 356 and 360
1. What is the LCM of 356 and 360?
The LCM of 356 and 360 is 32040.
2. How to find the lowest common multiple of 356 and 360?
To find the lowest common multiple of 356 and 360, we have to get the multip;es of both numbers and identify the least common multiple in them which is 32040.
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 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 356 and 360?Answer:
Least Common Multiple of 356 and 360 = 32040
Step 1: Find the prime factorization of 356
356 = 2 x 2 x 89
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 = 32040 = 2 x 2 x 2 x 3 x 3 x 5 x 89
Step 4: Therefore, the least common multiple of 356 and 360 is 32040.