LCM of 297 and 305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 297 and 305 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 90585 as output. Here you can check the answer for Find the LCM of 297 and 305.
What is LCM of 297 and 305
Given Numbers are 297, 305
We can find the LCM of 297, 305 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 297 and 305
Multiples of 297 =297,594,891,1188,1485,1782,2079,2376,2673,2970,3267,3564,3861,4158,4455,4752,5049,
Multiples of 305 =305,610,915,1220,1525,1830,2135,2440,2745,3050,3355,3660,3965,4270,4575,4880,5185,
Now, get the least common multiple of 297, 305 which is 90585
So, the LCM of 297, 305 is 90585.
Least Common Multiple (LCM) of 297 and 305 with the help of Prime Factorisation
One method for determining the LCM of 297 and 305 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 297's prime factorization:
| 3 | 297 |
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 297 are 3,11.
297 = 33×111
And this is 305's prime factorization:
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 305 are 5,61.
305 = 51×611
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: 3,11, 5,61
.33×51×111×611 = 90585
This shows that the LCM of 297 and 305 is 90585.
How to Calculate the LCM of 297 and 305 Using Common Multiples
The first step in determining the Least Common Multiple of 297 and 305 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 297 and 305:
Lets look at the first ten multiples of these numbers, 297 and 305:
297,594,891,1188,1485,1782,2079,2376,2673,5049 are the first ten multiples of 297.
305,610,915,1220,1525,1830,2135,2440,2745,5185 are the first ten multiples of 305.
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 297 and 305, for example, are 3564, 5049, and 4880. 90585 is the least common multiple since it is the smallest.
297 and 305 have an LCM of 90585.
Least Common Multiple of 297 and 305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 297 and 305, than apply into the LCM equation.
GCF(297,305) = 1
LCM(297,305) = ( 297 × 305) / 1
LCM(297,305) = 90585 / 1
LCM(297,305) = 90585
Related Least Common Multiples of 297
Related Least Common Multiples of 305
Frequently Asked Questions on LCM of 297 and 305
1. What is the LCM of 297 and 305?
The LCM of 297 and 305 is 90585.
2. How to find the lowest common multiple of 297 and 305?
To find the lowest common multiple of 297 and 305, we have to get the multip;es of both numbers and identify the least common multiple in them which is 90585.
3. What are the Factors of 297?
Answer: Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. There are 8 integers that are factors of 297. The greatest factor of 297 is 297.
4. What are the Factors of 305?
Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.
5. How to Find the LCM of 297 and 305?Answer:
Least Common Multiple of 297 and 305 = 90585
Step 1: Find the prime factorization of 297
297 = 3 x 3 x 3 x 11
Step 2: Find the prime factorization of 305
305 = 5 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90585 = 3 x 3 x 3 x 5 x 11 x 61
Step 4: Therefore, the least common multiple of 297 and 305 is 90585.