LCM of 275 and 279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 275 and 279 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 76725 as output. Here you can check the answer for Find the LCM of 275 and 279.
What is LCM of 275 and 279
Given Numbers are 275, 279
We can find the LCM of 275, 279 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 275 and 279
Multiples of 275 =275,550,825,1100,1375,1650,1925,2200,2475,2750,3025,3300,3575,3850,4125,4400,4675,
Multiples of 279 =279,558,837,1116,1395,1674,1953,2232,2511,2790,3069,3348,3627,3906,4185,4464,4743,
Now, get the least common multiple of 275, 279 which is 76725
So, the LCM of 275, 279 is 76725.
Least Common Multiple (LCM) of 275 and 279 with the help of Prime Factorisation
One method for determining the LCM of 275 and 279 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 275's prime factorization:
| 5 | 275 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 275 are 5,11.
275 = 52×111
And this is 279's prime factorization:
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 279 are 3,31.
279 = 32×311
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: 5,11, 3,31
.32×52×111×311 = 76725
This shows that the LCM of 275 and 279 is 76725.
How to Calculate the LCM of 275 and 279 Using Common Multiples
The first step in determining the Least Common Multiple of 275 and 279 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 275 and 279:
Lets look at the first ten multiples of these numbers, 275 and 279:
275,550,825,1100,1375,1650,1925,2200,2475,4675 are the first ten multiples of 275.
279,558,837,1116,1395,1674,1953,2232,2511,4743 are the first ten multiples of 279.
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 275 and 279, for example, are 3300, 4675, and 4464. 76725 is the least common multiple since it is the smallest.
275 and 279 have an LCM of 76725.
Least Common Multiple of 275 and 279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 275 and 279, than apply into the LCM equation.
GCF(275,279) = 1
LCM(275,279) = ( 275 × 279) / 1
LCM(275,279) = 76725 / 1
LCM(275,279) = 76725
Related Least Common Multiples of 275
Related Least Common Multiples of 279
Frequently Asked Questions on LCM of 275 and 279
1. What is the LCM of 275 and 279?
The LCM of 275 and 279 is 76725.
2. How to find the lowest common multiple of 275 and 279?
To find the lowest common multiple of 275 and 279, we have to get the multip;es of both numbers and identify the least common multiple in them which is 76725.
3. What are the Factors of 275?
Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.
4. What are the Factors of 279?
Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.
5. How to Find the LCM of 275 and 279?Answer:
Least Common Multiple of 275 and 279 = 76725
Step 1: Find the prime factorization of 275
275 = 5 x 5 x 11
Step 2: Find the prime factorization of 279
279 = 3 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76725 = 3 x 3 x 5 x 5 x 11 x 31
Step 4: Therefore, the least common multiple of 275 and 279 is 76725.