LCM of 368 and 375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 368 and 375 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 138000 as output. Here you can check the answer for Find the LCM of 368 and 375.
What is LCM of 368 and 375
Given Numbers are 368, 375
We can find the LCM of 368, 375 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 368 and 375
Multiples of 368 =368,736,1104,1472,1840,2208,2576,2944,3312,3680,4048,4416,4784,5152,5520,5888,6256,
Multiples of 375 =375,750,1125,1500,1875,2250,2625,3000,3375,3750,4125,4500,4875,5250,5625,6000,6375,
Now, get the least common multiple of 368, 375 which is 138000
So, the LCM of 368, 375 is 138000.
Least Common Multiple (LCM) of 368 and 375 with the help of Prime Factorisation
One method for determining the LCM of 368 and 375 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 368's prime factorization:
| 2 | 368 |
| 2 | 184 |
| 2 | 92 |
| 2 | 46 |
| 23 | 23 |
| 1 |
Prime factors of 368 are 2,23.
368 = 24×231
And this is 375's prime factorization:
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 375 are 3,5.
375 = 31×53
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: 2,23, 3,5
.24×31×53×231 = 138000
This shows that the LCM of 368 and 375 is 138000.
How to Calculate the LCM of 368 and 375 Using Common Multiples
The first step in determining the Least Common Multiple of 368 and 375 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 368 and 375:
Lets look at the first ten multiples of these numbers, 368 and 375:
368,736,1104,1472,1840,2208,2576,2944,3312,6256 are the first ten multiples of 368.
375,750,1125,1500,1875,2250,2625,3000,3375,6375 are the first ten multiples of 375.
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 368 and 375, for example, are 4416, 6256, and 6000. 138000 is the least common multiple since it is the smallest.
368 and 375 have an LCM of 138000.
Least Common Multiple of 368 and 375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 368 and 375, than apply into the LCM equation.
GCF(368,375) = 1
LCM(368,375) = ( 368 × 375) / 1
LCM(368,375) = 138000 / 1
LCM(368,375) = 138000
Related Least Common Multiples of 368
Related Least Common Multiples of 375
Frequently Asked Questions on LCM of 368 and 375
1. What is the LCM of 368 and 375?
The LCM of 368 and 375 is 138000.
2. How to find the lowest common multiple of 368 and 375?
To find the lowest common multiple of 368 and 375, we have to get the multip;es of both numbers and identify the least common multiple in them which is 138000.
3. What are the Factors of 368?
Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.
4. What are the Factors of 375?
Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.
5. How to Find the LCM of 368 and 375?Answer:
Least Common Multiple of 368 and 375 = 138000
Step 1: Find the prime factorization of 368
368 = 2 x 2 x 2 x 2 x 23
Step 2: Find the prime factorization of 375
375 = 3 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 138000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 23
Step 4: Therefore, the least common multiple of 368 and 375 is 138000.