LCM of 274 and 279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 274 and 279 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 76446 as output. Here you can check the answer for Find the LCM of 274 and 279.
What is LCM of 274 and 279
Given Numbers are 274, 279
We can find the LCM of 274, 279 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 274 and 279
Multiples of 274 =274,548,822,1096,1370,1644,1918,2192,2466,2740,3014,3288,3562,3836,4110,4384,4658,
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 274, 279 which is 76446
So, the LCM of 274, 279 is 76446.
Least Common Multiple (LCM) of 274 and 279 with the help of Prime Factorisation
One method for determining the LCM of 274 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 274's prime factorization:
| 2 | 274 |
| 137 | 137 |
| 1 |
Prime factors of 274 are 2,137.
274 = 21×1371
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: 2,137, 3,31
.21×32×311×1371 = 76446
This shows that the LCM of 274 and 279 is 76446.
How to Calculate the LCM of 274 and 279 Using Common Multiples
The first step in determining the Least Common Multiple of 274 and 279 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 274 and 279:
Lets look at the first ten multiples of these numbers, 274 and 279:
274,548,822,1096,1370,1644,1918,2192,2466,4658 are the first ten multiples of 274.
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 274 and 279, for example, are 3288, 4658, and 4464. 76446 is the least common multiple since it is the smallest.
274 and 279 have an LCM of 76446.
Least Common Multiple of 274 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 274 and 279, than apply into the LCM equation.
GCF(274,279) = 1
LCM(274,279) = ( 274 × 279) / 1
LCM(274,279) = 76446 / 1
LCM(274,279) = 76446
Related Least Common Multiples of 274
Related Least Common Multiples of 279
Frequently Asked Questions on LCM of 274 and 279
1. What is the LCM of 274 and 279?
The LCM of 274 and 279 is 76446.
2. How to find the lowest common multiple of 274 and 279?
To find the lowest common multiple of 274 and 279, we have to get the multip;es of both numbers and identify the least common multiple in them which is 76446.
3. What are the Factors of 274?
Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.
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 274 and 279?Answer:
Least Common Multiple of 274 and 279 = 76446
Step 1: Find the prime factorization of 274
274 = 2 x 137
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 = 76446 = 2 x 3 x 3 x 31 x 137
Step 4: Therefore, the least common multiple of 274 and 279 is 76446.