LCM of 346 and 354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 346 and 354 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 61242 as output. Here you can check the answer for Find the LCM of 346 and 354.
What is LCM of 346 and 354
Given Numbers are 346, 354
We can find the LCM of 346, 354 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 346 and 354
Multiples of 346 =346,692,1038,1384,1730,2076,2422,2768,3114,3460,3806,4152,4498,4844,5190,5536,5882,
Multiples of 354 =354,708,1062,1416,1770,2124,2478,2832,3186,3540,3894,4248,4602,4956,5310,5664,6018,
Now, get the least common multiple of 346, 354 which is 61242
So, the LCM of 346, 354 is 61242.
Least Common Multiple (LCM) of 346 and 354 with the help of Prime Factorisation
One method for determining the LCM of 346 and 354 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 346's prime factorization:
| 2 | 346 |
| 173 | 173 |
| 1 |
Prime factors of 346 are 2,173.
346 = 21×1731
And this is 354's prime factorization:
| 2 | 354 |
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 354 are 2, 3,59.
354 = 21×31×591
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: 2,173, 3,59
.21×31×591×1731 = 61242
This shows that the LCM of 346 and 354 is 61242.
How to Calculate the LCM of 346 and 354 Using Common Multiples
The first step in determining the Least Common Multiple of 346 and 354 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 346 and 354:
Lets look at the first ten multiples of these numbers, 346 and 354:
346,692,1038,1384,1730,2076,2422,2768,3114,5882 are the first ten multiples of 346.
354,708,1062,1416,1770,2124,2478,2832,3186,6018 are the first ten multiples of 354.
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 346 and 354, for example, are 4152, 5882, and 5664. 61242 is the least common multiple since it is the smallest.
346 and 354 have an LCM of 61242.
Least Common Multiple of 346 and 354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 346 and 354, than apply into the LCM equation.
GCF(346,354) = 2
LCM(346,354) = ( 346 × 354) / 2
LCM(346,354) = 122484 / 2
LCM(346,354) = 61242
Related Least Common Multiples of 346
Related Least Common Multiples of 354
Frequently Asked Questions on LCM of 346 and 354
1. What is the LCM of 346 and 354?
The LCM of 346 and 354 is 61242.
2. How to find the lowest common multiple of 346 and 354?
To find the lowest common multiple of 346 and 354, we have to get the multip;es of both numbers and identify the least common multiple in them which is 61242.
3. What are the Factors of 346?
Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.
4. What are the Factors of 354?
Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.
5. How to Find the LCM of 346 and 354?Answer:
Least Common Multiple of 346 and 354 = 61242
Step 1: Find the prime factorization of 346
346 = 2 x 173
Step 2: Find the prime factorization of 354
354 = 2 x 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61242 = 2 x 3 x 59 x 173
Step 4: Therefore, the least common multiple of 346 and 354 is 61242.