what is the least common multiple of 4 and 12
LCM of 4 and 12LCM of 4 and 12 is the smallest of all common multiples of 4 and 12. The first multiples of 4 and 12 are (4, 8, 12, 16, 20, 24, 28,. ..) and (12, 24, 36, 48, 60,…) respectively. There are 3 commonly used methods to find the LCM of 4 and 12 – by listing the multiples, by division and by prime factors. 1. LCM of 4 and 12 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 4 and 12 is 12. Read: what is the most common multiple of 4 and 12 Explanation: Read more: Garage house type with LCM of two integers other than 0, x (4) and y (12), which is the smallest positive integer m (12) that is divisible by both x (4) and y (12 ) with no remainder See the different methods to find the LCM of 4 and 12.
- By multiples of the list
- According to the prime factorization method
- According to the division method
LCM of 4 and 12 in List Multiples
To calculate the LCM of 4 and 12 by enumerating common multiples, we can follow these steps:
- Step 1: List some multiples of 4 (4, 8, 12, 16, 20, 24, 28,…) and 12 (12, 24, 36, 48, 60,…)
- Step 2: The common multiples from multiples of 4 and 12 are 12, 24 ,. . .
- Step 3: The least common multiple of 4 and 12 is 12.
∴ Least common multiple of 4 and 12 = 12.
LCM of 4 and 12 in prime factors
Read more: what is the square root of 300 | The initial Q & APrime remainders of 4 and 12 are (2 × 2) = 22 and (2 × 2 × 3) = 22 × 31, respectively. The LCMs of 4 and 12 can be obtained by multiplying integer factors. factors are raised to their highest powers, i.e. 22 × 31 = 12. Therefore, the LCM of 4 and 12 in prime factors is 12.
LCM of 4 and 12 by Division Method
To calculate the LCM of 4 and 12 using the division method, we divide the numbers (4, 12) by their prime factors (preferably common). The product of these divisors for the LCM is 4 and 12.
- Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 4 and 12. Write this prime (2) to the left of the given numbers (4 and 12), separated by a ladder arrangement. .
- Step 2: If a given number (4, 12) is a multiple of 2 then divide it by 2 and write the quotient below it. Bring down any number that is not divisible by primes.
- Step 3: Continue the steps until there are only 1s left in the last row.
The LCM of 4 and 12 is the product of all the primes to the left, i.e. LCM (4, 12) by division = 2 × 2 × 3 = 12.☛ Also check:Read more: What does capitalization mean in football
- LCM of 32 and 36 – 288
- LCM of 36 and 84 – 252
- LCM of 4, 6 and 9 – 36
- LCM of 12, 15, 20 and 27 – 540
- LCM of 6 and 18 – 18
- LCM of 30, 72 and 432 – 2160
- LCM of 2 and 7 – 14
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