LCM of 270 and 277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 270 and 277 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 74790 as output. Here you can check the answer for Find the LCM of 270 and 277.
What is LCM of 270 and 277
Given Numbers are 270, 277
We can find the LCM of 270, 277 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 270 and 277
Multiples of 270 =270,540,810,1080,1350,1620,1890,2160,2430,2700,2970,3240,3510,3780,4050,4320,4590,
Multiples of 277 =277,554,831,1108,1385,1662,1939,2216,2493,2770,3047,3324,3601,3878,4155,4432,4709,
Now, get the least common multiple of 270, 277 which is 74790
So, the LCM of 270, 277 is 74790.
Least Common Multiple (LCM) of 270 and 277 with the help of Prime Factorisation
One method for determining the LCM of 270 and 277 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 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
And this is 277's prime factorization:
| 277 | 277 |
| 1 |
Prime factors of 277 are 277.
277 = 2771
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, 3,5,277
.21×33×51×2771 = 74790
This shows that the LCM of 270 and 277 is 74790.
How to Calculate the LCM of 270 and 277 Using Common Multiples
The first step in determining the Least Common Multiple of 270 and 277 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 270 and 277:
Lets look at the first ten multiples of these numbers, 270 and 277:
270,540,810,1080,1350,1620,1890,2160,2430,4590 are the first ten multiples of 270.
277,554,831,1108,1385,1662,1939,2216,2493,4709 are the first ten multiples of 277.
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 270 and 277, for example, are 3240, 4590, and 4432. 74790 is the least common multiple since it is the smallest.
270 and 277 have an LCM of 74790.
Least Common Multiple of 270 and 277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 270 and 277, than apply into the LCM equation.
GCF(270,277) = 1
LCM(270,277) = ( 270 × 277) / 1
LCM(270,277) = 74790 / 1
LCM(270,277) = 74790
Related Least Common Multiples of 270
Related Least Common Multiples of 277
Frequently Asked Questions on LCM of 270 and 277
1. What is the LCM of 270 and 277?
The LCM of 270 and 277 is 74790.
2. How to find the lowest common multiple of 270 and 277?
To find the lowest common multiple of 270 and 277, we have to get the multip;es of both numbers and identify the least common multiple in them which is 74790.
3. 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.
4. What are the Factors of 277?
Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.
5. How to Find the LCM of 270 and 277?Answer:
Least Common Multiple of 270 and 277 = 74790
Step 1: Find the prime factorization of 270
270 = 2 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 277
277 = 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74790 = 2 x 3 x 3 x 3 x 5 x 277
Step 4: Therefore, the least common multiple of 270 and 277 is 74790.