LCM of 266 and 270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 266 and 270 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 35910 as output. Here you can check the answer for Find the LCM of 266 and 270.
What is LCM of 266 and 270
Given Numbers are 266, 270
We can find the LCM of 266, 270 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 266 and 270
Multiples of 266 =266,532,798,1064,1330,1596,1862,2128,2394,2660,2926,3192,3458,3724,3990,4256,4522,
Multiples of 270 =270,540,810,1080,1350,1620,1890,2160,2430,2700,2970,3240,3510,3780,4050,4320,4590,
Now, get the least common multiple of 266, 270 which is 35910
So, the LCM of 266, 270 is 35910.
Least Common Multiple (LCM) of 266 and 270 with the help of Prime Factorisation
One method for determining the LCM of 266 and 270 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 266's prime factorization:
| 2 | 266 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 266 are 2, 7,19.
266 = 21×71×191
And this is 270's prime factorization:
| 2 | 270 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 270 are 2, 3,5.
270 = 21×33×51
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, 7,19, 3,5
.21×33×51×71×191 = 35910
This shows that the LCM of 266 and 270 is 35910.
How to Calculate the LCM of 266 and 270 Using Common Multiples
The first step in determining the Least Common Multiple of 266 and 270 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 266 and 270:
Lets look at the first ten multiples of these numbers, 266 and 270:
266,532,798,1064,1330,1596,1862,2128,2394,4522 are the first ten multiples of 266.
270,540,810,1080,1350,1620,1890,2160,2430,4590 are the first ten multiples of 270.
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 266 and 270, for example, are 3192, 4522, and 4320. 35910 is the least common multiple since it is the smallest.
266 and 270 have an LCM of 35910.
Least Common Multiple of 266 and 270 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 266 and 270, than apply into the LCM equation.
GCF(266,270) = 2
LCM(266,270) = ( 266 × 270) / 2
LCM(266,270) = 71820 / 2
LCM(266,270) = 35910
Related Least Common Multiples of 266
Related Least Common Multiples of 270
Frequently Asked Questions on LCM of 266 and 270
1. What is the LCM of 266 and 270?
The LCM of 266 and 270 is 35910.
2. How to find the lowest common multiple of 266 and 270?
To find the lowest common multiple of 266 and 270, we have to get the multip;es of both numbers and identify the least common multiple in them which is 35910.
3. What are the Factors of 266?
Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.
4. What are the Factors of 270?
Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.
5. How to Find the LCM of 266 and 270?Answer:
Least Common Multiple of 266 and 270 = 35910
Step 1: Find the prime factorization of 266
266 = 2 x 7 x 19
Step 2: Find the prime factorization of 270
270 = 2 x 3 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 = 35910 = 2 x 3 x 3 x 3 x 5 x 7 x 19
Step 4: Therefore, the least common multiple of 266 and 270 is 35910.