LCM of 253 and 260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 253 and 260 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 65780 as output. Here you can check the answer for Find the LCM of 253 and 260.
What is LCM of 253 and 260
Given Numbers are 253, 260
We can find the LCM of 253, 260 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 253 and 260
Multiples of 253 =253,506,759,1012,1265,1518,1771,2024,2277,2530,2783,3036,3289,3542,3795,4048,4301,
Multiples of 260 =260,520,780,1040,1300,1560,1820,2080,2340,2600,2860,3120,3380,3640,3900,4160,4420,
Now, get the least common multiple of 253, 260 which is 65780
So, the LCM of 253, 260 is 65780.
Least Common Multiple (LCM) of 253 and 260 with the help of Prime Factorisation
One method for determining the LCM of 253 and 260 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 253's prime factorization:
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 253 are 11,23.
253 = 111×231
And this 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
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: 11,23, 2, 5,13
.22×51×111×131×231 = 65780
This shows that the LCM of 253 and 260 is 65780.
How to Calculate the LCM of 253 and 260 Using Common Multiples
The first step in determining the Least Common Multiple of 253 and 260 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 253 and 260:
Lets look at the first ten multiples of these numbers, 253 and 260:
253,506,759,1012,1265,1518,1771,2024,2277,4301 are the first ten multiples of 253.
260,520,780,1040,1300,1560,1820,2080,2340,4420 are the first ten multiples of 260.
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 253 and 260, for example, are 3036, 4301, and 4160. 65780 is the least common multiple since it is the smallest.
253 and 260 have an LCM of 65780.
Least Common Multiple of 253 and 260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 253 and 260, than apply into the LCM equation.
GCF(253,260) = 1
LCM(253,260) = ( 253 × 260) / 1
LCM(253,260) = 65780 / 1
LCM(253,260) = 65780
Related Least Common Multiples of 253
Related Least Common Multiples of 260
Frequently Asked Questions on LCM of 253 and 260
1. What is the LCM of 253 and 260?
The LCM of 253 and 260 is 65780.
2. How to find the lowest common multiple of 253 and 260?
To find the lowest common multiple of 253 and 260, we have to get the multip;es of both numbers and identify the least common multiple in them which is 65780.
3. What are the Factors of 253?
Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.
4. 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.
5. How to Find the LCM of 253 and 260?Answer:
Least Common Multiple of 253 and 260 = 65780
Step 1: Find the prime factorization of 253
253 = 11 x 23
Step 2: Find the prime factorization of 260
260 = 2 x 2 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65780 = 2 x 2 x 5 x 11 x 13 x 23
Step 4: Therefore, the least common multiple of 253 and 260 is 65780.