Given Numbers are 74, 78

We can find the LCM of 74, 78 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 74 and 78

Multiples of 74 =74,148,222,296,370,444,518,592,666,740,814,888,962,1036,1110,1184,1258,

Multiples of 78 =78,156,234,312,390,468,546,624,702,780,858,936,1014,1092,1170,1248,1326,

Now, get the least common multiple of 74, 78 which is 2886

So, the LCM of 74, 78 is 2886.

One method for determining the LCM of 74 and 78 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 74's prime factorization:

Prime factors of 74 are 2,37.

74 = 2¹×37¹

And this is 78's prime factorization:

Prime factors of 78 are 2, 3,13.

78 = 2¹×3¹×13¹

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: 2,37, 3,13

2¹×3¹×13¹×37¹ = 2886

This shows that the LCM of 74 and 78 is 2886.

The first step in determining the Least Common Multiple of 74 and 78 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 74 and 78:

Lets look at the first ten multiples of these numbers, 74 and 78:

74,148,222,296,370,444,518,592,666,1258 are the first ten multiples of 74.

78,156,234,312,390,468,546,624,702,1326 are the first ten multiples of 78.

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 74 and 78, for example, are 888, 1258, and 1248. 2886 is the least common multiple since it is the smallest.

74 and 78 have an LCM of 2886.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74 and 78, than apply into the LCM equation.

GCF(74,78) = 2
LCM(74,78) = ( 74 × 78) / 2
LCM(74,78) = 5772 / 2
LCM(74,78) = 2886

1. What is the LCM of 74 and 78?

The LCM of 74 and 78 is 2886.

2. How to find the lowest common multiple of 74 and 78?

To find the lowest common multiple of 74 and 78, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2886.

3. What are the Factors of 74?

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

4. What are the Factors of 78?

Answer: Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. There are 8 integers that are factors of 78. The greatest factor of 78 is 78.

Answer:

Least Common Multiple of 74 and 78 = 2886

Step 1: Find the prime factorization of 74

74 = 2 x 37

Step 2: Find the prime factorization of 78

78 = 2 x 3 x 13

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

LCM = 2886 = 2 x 3 x 13 x 37

Step 4: Therefore, the least common multiple of 74 and 78 is 2886.