Given Numbers are 372, 380

We can find the LCM of 372, 380 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 372 and 380

Multiples of 372 =372,744,1116,1488,1860,2232,2604,2976,3348,3720,4092,4464,4836,5208,5580,5952,6324,

Multiples of 380 =380,760,1140,1520,1900,2280,2660,3040,3420,3800,4180,4560,4940,5320,5700,6080,6460,

Now, get the least common multiple of 372, 380 which is 35340

So, the LCM of 372, 380 is 35340.

One method for determining the LCM of 372 and 380 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 372's prime factorization:

Prime factors of 372 are 2, 3,31.

372 = 2²×3¹×31¹

And this is 380's prime factorization:

Prime factors of 380 are 2, 5,19.

380 = 2²×5¹×19¹

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, 3,31, 5,19

2²×3¹×5¹×19¹×31¹ = 35340

This shows that the LCM of 372 and 380 is 35340.

The first step in determining the Least Common Multiple of 372 and 380 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 372 and 380:

Lets look at the first ten multiples of these numbers, 372 and 380:

372,744,1116,1488,1860,2232,2604,2976,3348,6324 are the first ten multiples of 372.

380,760,1140,1520,1900,2280,2660,3040,3420,6460 are the first ten multiples of 380.

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 372 and 380, for example, are 4464, 6324, and 6080. 35340 is the least common multiple since it is the smallest.

372 and 380 have an LCM of 35340.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 372 and 380, than apply into the LCM equation.

GCF(372,380) = 4
LCM(372,380) = ( 372 × 380) / 4
LCM(372,380) = 141360 / 4
LCM(372,380) = 35340

1. What is the LCM of 372 and 380?

The LCM of 372 and 380 is 35340.

2. How to find the lowest common multiple of 372 and 380?

To find the lowest common multiple of 372 and 380, we have to get the multip;es of both numbers and identify the least common multiple in them which is 35340.

3. What are the Factors of 372?

Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.

4. What are the Factors of 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

Answer:

Least Common Multiple of 372 and 380 = 35340

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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

LCM = 35340 = 2 x 2 x 3 x 5 x 19 x 31

Step 4: Therefore, the least common multiple of 372 and 380 is 35340.