Answer:
The LCM of 8 and 12 is 24.
Step-by-step Explanation:
LCM or Least Common Multiple
The LCM or least common multiple is the smallest common number that is a multiple of two or more given numbers. There are three methods that we can use to find the LCM of numbers. They are listing method, prime factorization and continuous division.
Let us now find the LCM of 8 and 12 using each method.
Listing Method
In the listing method, we are just going to give the multiples of each number. Then, get the smallest common multiple that they have.
8, 16, 24, 32, 40, 48
12, 24, 36, 48, 60
LCM = 24
Prime Factorization
In prime factorization, we need to find which prime numbers when multiplying together is equal to the given number. Then, if there are common prime factor base, select the prime number that has the most number.
8 = 2 × 2 × 2
12 = 2 × 2 × 3
LCM = 2 × 2 × 2 × 3 = 24
Continuous Division
In continuous division, we need to write the given numbers in a horizontal line, separating them by commas. Then, divide them by a suitable prime number, which exactly divides at least two of the given numbers. Quotients are put directly under the numbers in the next row. Lastly, we multiply all the prime numbers by which we have divided and the co-prime numbers left in the last row.
2 | 8, 12
2 | 4, 6
| 2, 3
LCM = 2 × 2 × 2 × 3 = 24
For examples of finding the LCM, visit the links:
https://brainly.ph/question/1674403
https://brainly.ph/question/1742550
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