LCM of 279 and 286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 279 and 286 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 79794 as output. Here you can check the answer for Find the LCM of 279 and 286.
What is LCM of 279 and 286
Given Numbers are 279, 286
We can find the LCM of 279, 286 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 279 and 286
Multiples of 279 =279,558,837,1116,1395,1674,1953,2232,2511,2790,3069,3348,3627,3906,4185,4464,4743,
Multiples of 286 =286,572,858,1144,1430,1716,2002,2288,2574,2860,3146,3432,3718,4004,4290,4576,4862,
Now, get the least common multiple of 279, 286 which is 79794
So, the LCM of 279, 286 is 79794.
Least Common Multiple (LCM) of 279 and 286 with the help of Prime Factorisation
One method for determining the LCM of 279 and 286 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 279's prime factorization:
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 279 are 3,31.
279 = 32×311
And this is 286's prime factorization:
| 2 | 286 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 286 are 2, 11,13.
286 = 21×111×131
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: 3,31, 2, 11,13
.21×32×111×131×311 = 79794
This shows that the LCM of 279 and 286 is 79794.
How to Calculate the LCM of 279 and 286 Using Common Multiples
The first step in determining the Least Common Multiple of 279 and 286 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 279 and 286:
Lets look at the first ten multiples of these numbers, 279 and 286:
279,558,837,1116,1395,1674,1953,2232,2511,4743 are the first ten multiples of 279.
286,572,858,1144,1430,1716,2002,2288,2574,4862 are the first ten multiples of 286.
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 279 and 286, for example, are 3348, 4743, and 4576. 79794 is the least common multiple since it is the smallest.
279 and 286 have an LCM of 79794.
Least Common Multiple of 279 and 286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 279 and 286, than apply into the LCM equation.
GCF(279,286) = 1
LCM(279,286) = ( 279 × 286) / 1
LCM(279,286) = 79794 / 1
LCM(279,286) = 79794
Related Least Common Multiples of 279
Related Least Common Multiples of 286
Frequently Asked Questions on LCM of 279 and 286
1. What is the LCM of 279 and 286?
The LCM of 279 and 286 is 79794.
2. How to find the lowest common multiple of 279 and 286?
To find the lowest common multiple of 279 and 286, we have to get the multip;es of both numbers and identify the least common multiple in them which is 79794.
3. 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.
4. What are the Factors of 286?
Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.
5. How to Find the LCM of 279 and 286?Answer:
Least Common Multiple of 279 and 286 = 79794
Step 1: Find the prime factorization of 279
279 = 3 x 3 x 31
Step 2: Find the prime factorization of 286
286 = 2 x 11 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 = 79794 = 2 x 3 x 3 x 11 x 13 x 31
Step 4: Therefore, the least common multiple of 279 and 286 is 79794.