Given Numbers are 374, 381

We can find the LCM of 374, 381 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 374 and 381

Multiples of 374 =374,748,1122,1496,1870,2244,2618,2992,3366,3740,4114,4488,4862,5236,5610,5984,6358,

Multiples of 381 =381,762,1143,1524,1905,2286,2667,3048,3429,3810,4191,4572,4953,5334,5715,6096,6477,

Now, get the least common multiple of 374, 381 which is 142494

So, the LCM of 374, 381 is 142494.

One method for determining the LCM of 374 and 381 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 374's prime factorization:

Prime factors of 374 are 2, 11,17.

374 = 2¹×11¹×17¹

And this is 381's prime factorization:

Prime factors of 381 are 3,127.

381 = 3¹×127¹

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, 11,17, 3,127

2¹×3¹×11¹×17¹×127¹ = 142494

This shows that the LCM of 374 and 381 is 142494.

The first step in determining the Least Common Multiple of 374 and 381 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 374 and 381:

Lets look at the first ten multiples of these numbers, 374 and 381:

374,748,1122,1496,1870,2244,2618,2992,3366,6358 are the first ten multiples of 374.

381,762,1143,1524,1905,2286,2667,3048,3429,6477 are the first ten multiples of 381.

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 374 and 381, for example, are 4488, 6358, and 6096. 142494 is the least common multiple since it is the smallest.

374 and 381 have an LCM of 142494.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 374 and 381, than apply into the LCM equation.

GCF(374,381) = 1
LCM(374,381) = ( 374 × 381) / 1
LCM(374,381) = 142494 / 1
LCM(374,381) = 142494

1. What is the LCM of 374 and 381?

The LCM of 374 and 381 is 142494.

2. How to find the lowest common multiple of 374 and 381?

To find the lowest common multiple of 374 and 381, we have to get the multip;es of both numbers and identify the least common multiple in them which is 142494.

3. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

4. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

Answer:

Least Common Multiple of 374 and 381 = 142494

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

Step 2: Find the prime factorization of 381

381 = 3 x 127

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

LCM = 142494 = 2 x 3 x 11 x 17 x 127

Step 4: Therefore, the least common multiple of 374 and 381 is 142494.