LCM of 260 and 264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 260 and 264 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 17160 as output. Here you can check the answer for Find the LCM of 260 and 264.
What is LCM of 260 and 264
Given Numbers are 260, 264
We can find the LCM of 260, 264 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 260 and 264
Multiples of 260 =260,520,780,1040,1300,1560,1820,2080,2340,2600,2860,3120,3380,3640,3900,4160,4420,
Multiples of 264 =264,528,792,1056,1320,1584,1848,2112,2376,2640,2904,3168,3432,3696,3960,4224,4488,
Now, get the least common multiple of 260, 264 which is 17160
So, the LCM of 260, 264 is 17160.
Least Common Multiple (LCM) of 260 and 264 with the help of Prime Factorisation
One method for determining the LCM of 260 and 264 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 260's prime factorization:
| 2 | 260 |
| 2 | 130 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 260 are 2, 5,13.
260 = 22×51×131
And this is 264's prime factorization:
| 2 | 264 |
| 2 | 132 |
| 2 | 66 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 264 are 2, 3,11.
264 = 23×31×111
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, 5,13, 3,11
.23×31×51×111×131 = 17160
This shows that the LCM of 260 and 264 is 17160.
How to Calculate the LCM of 260 and 264 Using Common Multiples
The first step in determining the Least Common Multiple of 260 and 264 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 260 and 264:
Lets look at the first ten multiples of these numbers, 260 and 264:
260,520,780,1040,1300,1560,1820,2080,2340,4420 are the first ten multiples of 260.
264,528,792,1056,1320,1584,1848,2112,2376,4488 are the first ten multiples of 264.
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 260 and 264, for example, are 3120, 4420, and 4224. 17160 is the least common multiple since it is the smallest.
260 and 264 have an LCM of 17160.
Least Common Multiple of 260 and 264 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 260 and 264, than apply into the LCM equation.
GCF(260,264) = 4
LCM(260,264) = ( 260 × 264) / 4
LCM(260,264) = 68640 / 4
LCM(260,264) = 17160
Related Least Common Multiples of 260
Related Least Common Multiples of 264
Frequently Asked Questions on LCM of 260 and 264
1. What is the LCM of 260 and 264?
The LCM of 260 and 264 is 17160.
2. How to find the lowest common multiple of 260 and 264?
To find the lowest common multiple of 260 and 264, we have to get the multip;es of both numbers and identify the least common multiple in them which is 17160.
3. What are the Factors of 260?
Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.
4. What are the Factors of 264?
Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.
5. How to Find the LCM of 260 and 264?Answer:
Least Common Multiple of 260 and 264 = 17160
Step 1: Find the prime factorization of 260
260 = 2 x 2 x 5 x 13
Step 2: Find the prime factorization of 264
264 = 2 x 2 x 2 x 3 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 = 17160 = 2 x 2 x 2 x 3 x 5 x 11 x 13
Step 4: Therefore, the least common multiple of 260 and 264 is 17160.