Given Numbers are 295, 301

We can find the LCM of 295, 301 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 295 and 301

Multiples of 295 =295,590,885,1180,1475,1770,2065,2360,2655,2950,3245,3540,3835,4130,4425,4720,5015,

Multiples of 301 =301,602,903,1204,1505,1806,2107,2408,2709,3010,3311,3612,3913,4214,4515,4816,5117,

Now, get the least common multiple of 295, 301 which is 88795

So, the LCM of 295, 301 is 88795.

One method for determining the LCM of 295 and 301 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:

Prime factors of 295 are 5,59.

295 = 5¹×59¹

And this is 301's prime factorization:

Prime factors of 301 are 7,43.

301 = 7¹×43¹

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, 7,43

5¹×7¹×43¹×59¹ = 88795

This shows that the LCM of 295 and 301 is 88795.

The first step in determining the Least Common Multiple of 295 and 301 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 295 and 301:

Lets look at the first ten multiples of these numbers, 295 and 301:

295,590,885,1180,1475,1770,2065,2360,2655,5015 are the first ten multiples of 295.

301,602,903,1204,1505,1806,2107,2408,2709,5117 are the first ten multiples of 301.

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 301, for example, are 3540, 5015, and 4816. 88795 is the least common multiple since it is the smallest.

295 and 301 have an LCM of 88795.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 295 and 301, than apply into the LCM equation.

GCF(295,301) = 1
LCM(295,301) = ( 295 × 301) / 1
LCM(295,301) = 88795 / 1
LCM(295,301) = 88795

1. What is the LCM of 295 and 301?

The LCM of 295 and 301 is 88795.

2. How to find the lowest common multiple of 295 and 301?

To find the lowest common multiple of 295 and 301, we have to get the multip;es of both numbers and identify the least common multiple in them which is 88795.

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 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

Answer:

Least Common Multiple of 295 and 301 = 88795

Step 1: Find the prime factorization of 295

295 = 5 x 59

Step 2: Find the prime factorization of 301

301 = 7 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 88795 = 5 x 7 x 43 x 59

Step 4: Therefore, the least common multiple of 295 and 301 is 88795.