LCM of 352 and 358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 352 and 358 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 63008 as output. Here you can check the answer for Find the LCM of 352 and 358.
What is LCM of 352 and 358
Given Numbers are 352, 358
We can find the LCM of 352, 358 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 352 and 358
Multiples of 352 =352,704,1056,1408,1760,2112,2464,2816,3168,3520,3872,4224,4576,4928,5280,5632,5984,
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 352, 358 which is 63008
So, the LCM of 352, 358 is 63008.
Least Common Multiple (LCM) of 352 and 358 with the help of Prime Factorisation
One method for determining the LCM of 352 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 352's prime factorization:
| 2 | 352 |
| 2 | 176 |
| 2 | 88 |
| 2 | 44 |
| 2 | 22 |
| 11 | 11 |
| 1 |
Prime factors of 352 are 2,11.
352 = 25×111
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: 2,11,179
.25×111×1791 = 63008
This shows that the LCM of 352 and 358 is 63008.
How to Calculate the LCM of 352 and 358 Using Common Multiples
The first step in determining the Least Common Multiple of 352 and 358 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 352 and 358:
Lets look at the first ten multiples of these numbers, 352 and 358:
352,704,1056,1408,1760,2112,2464,2816,3168,5984 are the first ten multiples of 352.
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 352 and 358, for example, are 4224, 5984, and 5728. 63008 is the least common multiple since it is the smallest.
352 and 358 have an LCM of 63008.
Least Common Multiple of 352 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 352 and 358, than apply into the LCM equation.
GCF(352,358) = 2
LCM(352,358) = ( 352 × 358) / 2
LCM(352,358) = 126016 / 2
LCM(352,358) = 63008
Related Least Common Multiples of 352
Related Least Common Multiples of 358
Frequently Asked Questions on LCM of 352 and 358
1. What is the LCM of 352 and 358?
The LCM of 352 and 358 is 63008.
2. How to find the lowest common multiple of 352 and 358?
To find the lowest common multiple of 352 and 358, we have to get the multip;es of both numbers and identify the least common multiple in them which is 63008.
3. What are the Factors of 352?
Answer: Factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352. There are 12 integers that are factors of 352. The greatest factor of 352 is 352.
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 352 and 358?Answer:
Least Common Multiple of 352 and 358 = 63008
Step 1: Find the prime factorization of 352
352 = 2 x 2 x 2 x 2 x 2 x 11
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 = 63008 = 2 x 2 x 2 x 2 x 2 x 11 x 179
Step 4: Therefore, the least common multiple of 352 and 358 is 63008.