what is the LCM of 4 and 8 and 12
Answers
Answer:
Explanation:
The two methods that we are using to find the LCM of 4, 8, and 12 are shown below.
LCM (4, 8, 12) by Listing the Common Factors
LCM (4, 8, 12) by Common Division Method
Method1: LCM of 4, 8, and 12 by Listing Method
We will list out the first few multiples of 4, 8, and 12 and determine the common multiples of 4, 8, and 12.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 12: 12, 24, 36, 48
The least among the common multiples is the LCM of 4, 8, and 12. So, 24 is the least common multiple of 4, 8, and 12.
Method2: LCM of 4, 8, and 12 by Common Division Method
In this division method, we divide the numbers 4, 8, and 12 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 4, 8, and 12.
LCM of 4, 8, and 12 by Common Division Method
The answer to LCM of 4, 8, and 12 is the same, irrespective of the methods used.
Therefore, LCM of 4, 8, and 12 is 24
Answer:
24
Step-by-step explanation:
2 | 4 8 12
2 | 2 4 6
2 | 1 2 3
3 | 1 1 3
| 1 1 1
LCM = 2×2×2×3
LCM = 24