LCM of 351 and 358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 351 and 358 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 125658 as output. Here you can check the answer for Find the LCM of 351 and 358.
What is LCM of 351 and 358
Given Numbers are 351, 358
We can find the LCM of 351, 358 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 351 and 358
Multiples of 351 =351,702,1053,1404,1755,2106,2457,2808,3159,3510,3861,4212,4563,4914,5265,5616,5967,
Multiples of 358 =358,716,1074,1432,1790,2148,2506,2864,3222,3580,3938,4296,4654,5012,5370,5728,6086,
Now, get the least common multiple of 351, 358 which is 125658
So, the LCM of 351, 358 is 125658.
Least Common Multiple (LCM) of 351 and 358 with the help of Prime Factorisation
One method for determining the LCM of 351 and 358 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 351's prime factorization:
| 3 | 351 |
| 3 | 117 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 351 are 3,13.
351 = 33×131
And this is 358's prime factorization:
| 2 | 358 |
| 179 | 179 |
| 1 |
Prime factors of 358 are 2,179.
358 = 21×1791
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: 3,13, 2,179
.21×33×131×1791 = 125658
This shows that the LCM of 351 and 358 is 125658.
How to Calculate the LCM of 351 and 358 Using Common Multiples
The first step in determining the Least Common Multiple of 351 and 358 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 351 and 358:
Lets look at the first ten multiples of these numbers, 351 and 358:
351,702,1053,1404,1755,2106,2457,2808,3159,5967 are the first ten multiples of 351.
358,716,1074,1432,1790,2148,2506,2864,3222,6086 are the first ten multiples of 358.
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 351 and 358, for example, are 4212, 5967, and 5728. 125658 is the least common multiple since it is the smallest.
351 and 358 have an LCM of 125658.
Least Common Multiple of 351 and 358 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 351 and 358, than apply into the LCM equation.
GCF(351,358) = 1
LCM(351,358) = ( 351 × 358) / 1
LCM(351,358) = 125658 / 1
LCM(351,358) = 125658
Related Least Common Multiples of 351
Related Least Common Multiples of 358
Frequently Asked Questions on LCM of 351 and 358
1. What is the LCM of 351 and 358?
The LCM of 351 and 358 is 125658.
2. How to find the lowest common multiple of 351 and 358?
To find the lowest common multiple of 351 and 358, we have to get the multip;es of both numbers and identify the least common multiple in them which is 125658.
3. What are the Factors of 351?
Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.
4. What are the Factors of 358?
Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.
5. How to Find the LCM of 351 and 358?Answer:
Least Common Multiple of 351 and 358 = 125658
Step 1: Find the prime factorization of 351
351 = 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 358
358 = 2 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 125658 = 2 x 3 x 3 x 3 x 13 x 179
Step 4: Therefore, the least common multiple of 351 and 358 is 125658.