LCM of 333 and 340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 333 and 340 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 113220 as output. Here you can check the answer for Find the LCM of 333 and 340.
What is LCM of 333 and 340
Given Numbers are 333, 340
We can find the LCM of 333, 340 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 333 and 340
Multiples of 333 =333,666,999,1332,1665,1998,2331,2664,2997,3330,3663,3996,4329,4662,4995,5328,5661,
Multiples of 340 =340,680,1020,1360,1700,2040,2380,2720,3060,3400,3740,4080,4420,4760,5100,5440,5780,
Now, get the least common multiple of 333, 340 which is 113220
So, the LCM of 333, 340 is 113220.
Least Common Multiple (LCM) of 333 and 340 with the help of Prime Factorisation
One method for determining the LCM of 333 and 340 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 333's prime factorization:
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 333 are 3,37.
333 = 32×371
And this is 340's prime factorization:
| 2 | 340 |
| 2 | 170 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 340 are 2, 5,17.
340 = 22×51×171
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: 3,37, 2, 5,17
.22×32×51×171×371 = 113220
This shows that the LCM of 333 and 340 is 113220.
How to Calculate the LCM of 333 and 340 Using Common Multiples
The first step in determining the Least Common Multiple of 333 and 340 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 333 and 340:
Lets look at the first ten multiples of these numbers, 333 and 340:
333,666,999,1332,1665,1998,2331,2664,2997,5661 are the first ten multiples of 333.
340,680,1020,1360,1700,2040,2380,2720,3060,5780 are the first ten multiples of 340.
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 333 and 340, for example, are 3996, 5661, and 5440. 113220 is the least common multiple since it is the smallest.
333 and 340 have an LCM of 113220.
Least Common Multiple of 333 and 340 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 333 and 340, than apply into the LCM equation.
GCF(333,340) = 1
LCM(333,340) = ( 333 × 340) / 1
LCM(333,340) = 113220 / 1
LCM(333,340) = 113220
Related Least Common Multiples of 333
Related Least Common Multiples of 340
Frequently Asked Questions on LCM of 333 and 340
1. What is the LCM of 333 and 340?
The LCM of 333 and 340 is 113220.
2. How to find the lowest common multiple of 333 and 340?
To find the lowest common multiple of 333 and 340, we have to get the multip;es of both numbers and identify the least common multiple in them which is 113220.
3. What are the Factors of 333?
Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.
4. What are the Factors of 340?
Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.
5. How to Find the LCM of 333 and 340?Answer:
Least Common Multiple of 333 and 340 = 113220
Step 1: Find the prime factorization of 333
333 = 3 x 3 x 37
Step 2: Find the prime factorization of 340
340 = 2 x 2 x 5 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 = 113220 = 2 x 2 x 3 x 3 x 5 x 17 x 37
Step 4: Therefore, the least common multiple of 333 and 340 is 113220.