Given Numbers are 290, 296

We can find the LCM of 290, 296 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 290 and 296

Multiples of 290 =290,580,870,1160,1450,1740,2030,2320,2610,2900,3190,3480,3770,4060,4350,4640,4930,

Multiples of 296 =296,592,888,1184,1480,1776,2072,2368,2664,2960,3256,3552,3848,4144,4440,4736,5032,

Now, get the least common multiple of 290, 296 which is 42920

So, the LCM of 290, 296 is 42920.

One method for determining the LCM of 290 and 296 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 290's prime factorization:

Prime factors of 290 are 2, 5,29.

290 = 2¹×5¹×29¹

And this is 296's prime factorization:

Prime factors of 296 are 2,37.

296 = 2³×37¹

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, 5,29,37

2³×5¹×29¹×37¹ = 42920

This shows that the LCM of 290 and 296 is 42920.

The first step in determining the Least Common Multiple of 290 and 296 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 290 and 296:

Lets look at the first ten multiples of these numbers, 290 and 296:

290,580,870,1160,1450,1740,2030,2320,2610,4930 are the first ten multiples of 290.

296,592,888,1184,1480,1776,2072,2368,2664,5032 are the first ten multiples of 296.

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 290 and 296, for example, are 3480, 4930, and 4736. 42920 is the least common multiple since it is the smallest.

290 and 296 have an LCM of 42920.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 290 and 296, than apply into the LCM equation.

GCF(290,296) = 2
LCM(290,296) = ( 290 × 296) / 2
LCM(290,296) = 85840 / 2
LCM(290,296) = 42920

1. What is the LCM of 290 and 296?

The LCM of 290 and 296 is 42920.

2. How to find the lowest common multiple of 290 and 296?

To find the lowest common multiple of 290 and 296, we have to get the multip;es of both numbers and identify the least common multiple in them which is 42920.

3. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

4. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

Answer:

Least Common Multiple of 290 and 296 = 42920

Step 1: Find the prime factorization of 290

290 = 2 x 5 x 29

Step 2: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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

LCM = 42920 = 2 x 2 x 2 x 5 x 29 x 37

Step 4: Therefore, the least common multiple of 290 and 296 is 42920.