LCM of 351 and 357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 351 and 357 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 41769 as output. Here you can check the answer for Find the LCM of 351 and 357.
What is LCM of 351 and 357
Given Numbers are 351, 357
We can find the LCM of 351, 357 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 351 and 357
Multiples of 351 =351,702,1053,1404,1755,2106,2457,2808,3159,3510,3861,4212,4563,4914,5265,5616,5967,
Multiples of 357 =357,714,1071,1428,1785,2142,2499,2856,3213,3570,3927,4284,4641,4998,5355,5712,6069,
Now, get the least common multiple of 351, 357 which is 41769
So, the LCM of 351, 357 is 41769.
Least Common Multiple (LCM) of 351 and 357 with the help of Prime Factorisation
One method for determining the LCM of 351 and 357 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 357's prime factorization:
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 357 are 3, 7,17.
357 = 31×71×171
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: 3,13, 7,17
.33×71×131×171 = 41769
This shows that the LCM of 351 and 357 is 41769.
How to Calculate the LCM of 351 and 357 Using Common Multiples
The first step in determining the Least Common Multiple of 351 and 357 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 351 and 357:
Lets look at the first ten multiples of these numbers, 351 and 357:
351,702,1053,1404,1755,2106,2457,2808,3159,5967 are the first ten multiples of 351.
357,714,1071,1428,1785,2142,2499,2856,3213,6069 are the first ten multiples of 357.
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 357, for example, are 4212, 5967, and 5712. 41769 is the least common multiple since it is the smallest.
351 and 357 have an LCM of 41769.
Least Common Multiple of 351 and 357 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 357, than apply into the LCM equation.
GCF(351,357) = 3
LCM(351,357) = ( 351 × 357) / 3
LCM(351,357) = 125307 / 3
LCM(351,357) = 41769
Related Least Common Multiples of 351
Related Least Common Multiples of 357
Frequently Asked Questions on LCM of 351 and 357
1. What is the LCM of 351 and 357?
The LCM of 351 and 357 is 41769.
2. How to find the lowest common multiple of 351 and 357?
To find the lowest common multiple of 351 and 357, we have to get the multip;es of both numbers and identify the least common multiple in them which is 41769.
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 357?
Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.
5. How to Find the LCM of 351 and 357?Answer:
Least Common Multiple of 351 and 357 = 41769
Step 1: Find the prime factorization of 351
351 = 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 357
357 = 3 x 7 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 = 41769 = 3 x 3 x 3 x 7 x 13 x 17
Step 4: Therefore, the least common multiple of 351 and 357 is 41769.