LCM of 367 and 374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 367 and 374 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 137258 as output. Here you can check the answer for Find the LCM of 367 and 374.
What is LCM of 367 and 374
Given Numbers are 367, 374
We can find the LCM of 367, 374 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 367 and 374
Multiples of 367 =367,734,1101,1468,1835,2202,2569,2936,3303,3670,4037,4404,4771,5138,5505,5872,6239,
Multiples of 374 =374,748,1122,1496,1870,2244,2618,2992,3366,3740,4114,4488,4862,5236,5610,5984,6358,
Now, get the least common multiple of 367, 374 which is 137258
So, the LCM of 367, 374 is 137258.
Least Common Multiple (LCM) of 367 and 374 with the help of Prime Factorisation
One method for determining the LCM of 367 and 374 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 367's prime factorization:
| 367 | 367 |
| 1 |
Prime factors of 367 are 367.
367 = 3671
And this is 374's prime factorization:
| 2 | 374 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 374 are 2, 11,17.
374 = 21×111×171
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:367, 2, 11,17
.21×111×171×3671 = 137258
This shows that the LCM of 367 and 374 is 137258.
How to Calculate the LCM of 367 and 374 Using Common Multiples
The first step in determining the Least Common Multiple of 367 and 374 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 367 and 374:
Lets look at the first ten multiples of these numbers, 367 and 374:
367,734,1101,1468,1835,2202,2569,2936,3303,6239 are the first ten multiples of 367.
374,748,1122,1496,1870,2244,2618,2992,3366,6358 are the first ten multiples of 374.
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 367 and 374, for example, are 4404, 6239, and 5984. 137258 is the least common multiple since it is the smallest.
367 and 374 have an LCM of 137258.
Least Common Multiple of 367 and 374 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 367 and 374, than apply into the LCM equation.
GCF(367,374) = 1
LCM(367,374) = ( 367 × 374) / 1
LCM(367,374) = 137258 / 1
LCM(367,374) = 137258
Related Least Common Multiples of 367
Related Least Common Multiples of 374
Frequently Asked Questions on LCM of 367 and 374
1. What is the LCM of 367 and 374?
The LCM of 367 and 374 is 137258.
2. How to find the lowest common multiple of 367 and 374?
To find the lowest common multiple of 367 and 374, we have to get the multip;es of both numbers and identify the least common multiple in them which is 137258.
3. What are the Factors of 367?
Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.
4. What are the Factors of 374?
Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.
5. How to Find the LCM of 367 and 374?Answer:
Least Common Multiple of 367 and 374 = 137258
Step 1: Find the prime factorization of 367
367 = 367
Step 2: Find the prime factorization of 374
374 = 2 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 137258 = 2 x 11 x 17 x 367
Step 4: Therefore, the least common multiple of 367 and 374 is 137258.