LCM of 315 and 319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 315 and 319 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 100485 as output. Here you can check the answer for Find the LCM of 315 and 319.
What is LCM of 315 and 319
Given Numbers are 315, 319
We can find the LCM of 315, 319 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 315 and 319
Multiples of 315 =315,630,945,1260,1575,1890,2205,2520,2835,3150,3465,3780,4095,4410,4725,5040,5355,
Multiples of 319 =319,638,957,1276,1595,1914,2233,2552,2871,3190,3509,3828,4147,4466,4785,5104,5423,
Now, get the least common multiple of 315, 319 which is 100485
So, the LCM of 315, 319 is 100485.
Least Common Multiple (LCM) of 315 and 319 with the help of Prime Factorisation
One method for determining the LCM of 315 and 319 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 315's prime factorization:
| 3 | 315 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 315 are 3, 5,7.
315 = 32×51×71
And this is 319's prime factorization:
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 319 are 11,29.
319 = 111×291
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, 5,7, 11,29
.32×51×71×111×291 = 100485
This shows that the LCM of 315 and 319 is 100485.
How to Calculate the LCM of 315 and 319 Using Common Multiples
The first step in determining the Least Common Multiple of 315 and 319 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 315 and 319:
Lets look at the first ten multiples of these numbers, 315 and 319:
315,630,945,1260,1575,1890,2205,2520,2835,5355 are the first ten multiples of 315.
319,638,957,1276,1595,1914,2233,2552,2871,5423 are the first ten multiples of 319.
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 315 and 319, for example, are 3780, 5355, and 5104. 100485 is the least common multiple since it is the smallest.
315 and 319 have an LCM of 100485.
Least Common Multiple of 315 and 319 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 319, than apply into the LCM equation.
GCF(315,319) = 1
LCM(315,319) = ( 315 × 319) / 1
LCM(315,319) = 100485 / 1
LCM(315,319) = 100485
Related Least Common Multiples of 315
Related Least Common Multiples of 319
Frequently Asked Questions on LCM of 315 and 319
1. What is the LCM of 315 and 319?
The LCM of 315 and 319 is 100485.
2. How to find the lowest common multiple of 315 and 319?
To find the lowest common multiple of 315 and 319, we have to get the multip;es of both numbers and identify the least common multiple in them which is 100485.
3. What are the Factors of 315?
Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.
4. What are the Factors of 319?
Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.
5. How to Find the LCM of 315 and 319?Answer:
Least Common Multiple of 315 and 319 = 100485
Step 1: Find the prime factorization of 315
315 = 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 319
319 = 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100485 = 3 x 3 x 5 x 7 x 11 x 29
Step 4: Therefore, the least common multiple of 315 and 319 is 100485.