LCM of 295 and 303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 295 and 303 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 89385 as output. Here you can check the answer for Find the LCM of 295 and 303.
What is LCM of 295 and 303
Given Numbers are 295, 303
We can find the LCM of 295, 303 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 295 and 303
Multiples of 295 =295,590,885,1180,1475,1770,2065,2360,2655,2950,3245,3540,3835,4130,4425,4720,5015,
Multiples of 303 =303,606,909,1212,1515,1818,2121,2424,2727,3030,3333,3636,3939,4242,4545,4848,5151,
Now, get the least common multiple of 295, 303 which is 89385
So, the LCM of 295, 303 is 89385.
Least Common Multiple (LCM) of 295 and 303 with the help of Prime Factorisation
One method for determining the LCM of 295 and 303 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 295's prime factorization:
| 5 | 295 |
| 59 | 59 |
| 1 |
Prime factors of 295 are 5,59.
295 = 51×591
And this is 303's prime factorization:
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 303 are 3,101.
303 = 31×1011
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: 5,59, 3,101
.31×51×591×1011 = 89385
This shows that the LCM of 295 and 303 is 89385.
How to Calculate the LCM of 295 and 303 Using Common Multiples
The first step in determining the Least Common Multiple of 295 and 303 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 295 and 303:
Lets look at the first ten multiples of these numbers, 295 and 303:
295,590,885,1180,1475,1770,2065,2360,2655,5015 are the first ten multiples of 295.
303,606,909,1212,1515,1818,2121,2424,2727,5151 are the first ten multiples of 303.
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 295 and 303, for example, are 3540, 5015, and 4848. 89385 is the least common multiple since it is the smallest.
295 and 303 have an LCM of 89385.
Least Common Multiple of 295 and 303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 295 and 303, than apply into the LCM equation.
GCF(295,303) = 1
LCM(295,303) = ( 295 × 303) / 1
LCM(295,303) = 89385 / 1
LCM(295,303) = 89385
Related Least Common Multiples of 295
Related Least Common Multiples of 303
Frequently Asked Questions on LCM of 295 and 303
1. What is the LCM of 295 and 303?
The LCM of 295 and 303 is 89385.
2. How to find the lowest common multiple of 295 and 303?
To find the lowest common multiple of 295 and 303, we have to get the multip;es of both numbers and identify the least common multiple in them which is 89385.
3. What are the Factors of 295?
Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.
4. What are the Factors of 303?
Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.
5. How to Find the LCM of 295 and 303?Answer:
Least Common Multiple of 295 and 303 = 89385
Step 1: Find the prime factorization of 295
295 = 5 x 59
Step 2: Find the prime factorization of 303
303 = 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89385 = 3 x 5 x 59 x 101
Step 4: Therefore, the least common multiple of 295 and 303 is 89385.