Given Numbers are 335, 343

We can find the LCM of 335, 343 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 335 and 343

Multiples of 335 =335,670,1005,1340,1675,2010,2345,2680,3015,3350,3685,4020,4355,4690,5025,5360,5695,

Multiples of 343 =343,686,1029,1372,1715,2058,2401,2744,3087,3430,3773,4116,4459,4802,5145,5488,5831,

Now, get the least common multiple of 335, 343 which is 114905

So, the LCM of 335, 343 is 114905.

One method for determining the LCM of 335 and 343 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 335's prime factorization:

Prime factors of 335 are 5,67.

335 = 5¹×67¹

And this is 343's prime factorization:

Prime factors of 343 are 7.

343 = 7³

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: 5,67,7

5¹×7³×67¹ = 114905

This shows that the LCM of 335 and 343 is 114905.

The first step in determining the Least Common Multiple of 335 and 343 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 335 and 343:

Lets look at the first ten multiples of these numbers, 335 and 343:

335,670,1005,1340,1675,2010,2345,2680,3015,5695 are the first ten multiples of 335.

343,686,1029,1372,1715,2058,2401,2744,3087,5831 are the first ten multiples of 343.

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 335 and 343, for example, are 4020, 5695, and 5488. 114905 is the least common multiple since it is the smallest.

335 and 343 have an LCM of 114905.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 335 and 343, than apply into the LCM equation.

GCF(335,343) = 1
LCM(335,343) = ( 335 × 343) / 1
LCM(335,343) = 114905 / 1
LCM(335,343) = 114905

1. What is the LCM of 335 and 343?

The LCM of 335 and 343 is 114905.

2. How to find the lowest common multiple of 335 and 343?

To find the lowest common multiple of 335 and 343, we have to get the multip;es of both numbers and identify the least common multiple in them which is 114905.

3. What are the Factors of 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. What are the Factors of 343?

Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.

Answer:

Least Common Multiple of 335 and 343 = 114905

Step 1: Find the prime factorization of 335

335 = 5 x 67

Step 2: Find the prime factorization of 343

343 = 7 x 7 x 7

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

LCM = 114905 = 5 x 7 x 7 x 7 x 67

Step 4: Therefore, the least common multiple of 335 and 343 is 114905.