LCM of 274 and 280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 274 and 280 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 38360 as output. Here you can check the answer for Find the LCM of 274 and 280.
What is LCM of 274 and 280
Given Numbers are 274, 280
We can find the LCM of 274, 280 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 274 and 280
Multiples of 274 =274,548,822,1096,1370,1644,1918,2192,2466,2740,3014,3288,3562,3836,4110,4384,4658,
Multiples of 280 =280,560,840,1120,1400,1680,1960,2240,2520,2800,3080,3360,3640,3920,4200,4480,4760,
Now, get the least common multiple of 274, 280 which is 38360
So, the LCM of 274, 280 is 38360.
Least Common Multiple (LCM) of 274 and 280 with the help of Prime Factorisation
One method for determining the LCM of 274 and 280 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 280's prime factorization:
| 2 | 280 |
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 280 are 2, 5,7.
280 = 23×51×71
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, 5,7
.23×51×71×1371 = 38360
This shows that the LCM of 274 and 280 is 38360.
How to Calculate the LCM of 274 and 280 Using Common Multiples
The first step in determining the Least Common Multiple of 274 and 280 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 274 and 280:
Lets look at the first ten multiples of these numbers, 274 and 280:
274,548,822,1096,1370,1644,1918,2192,2466,4658 are the first ten multiples of 274.
280,560,840,1120,1400,1680,1960,2240,2520,4760 are the first ten multiples of 280.
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 280, for example, are 3288, 4658, and 4480. 38360 is the least common multiple since it is the smallest.
274 and 280 have an LCM of 38360.
Least Common Multiple of 274 and 280 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 280, than apply into the LCM equation.
GCF(274,280) = 2
LCM(274,280) = ( 274 × 280) / 2
LCM(274,280) = 76720 / 2
LCM(274,280) = 38360
Related Least Common Multiples of 274
Related Least Common Multiples of 280
Frequently Asked Questions on LCM of 274 and 280
1. What is the LCM of 274 and 280?
The LCM of 274 and 280 is 38360.
2. How to find the lowest common multiple of 274 and 280?
To find the lowest common multiple of 274 and 280, we have to get the multip;es of both numbers and identify the least common multiple in them which is 38360.
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 280?
Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.
5. How to Find the LCM of 274 and 280?Answer:
Least Common Multiple of 274 and 280 = 38360
Step 1: Find the prime factorization of 274
274 = 2 x 137
Step 2: Find the prime factorization of 280
280 = 2 x 2 x 2 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38360 = 2 x 2 x 2 x 5 x 7 x 137
Step 4: Therefore, the least common multiple of 274 and 280 is 38360.