what is the lcm of 6 and 12
LCM of 6 and 12LCM of 6 and 12 is the smallest of all common multiples of 6 and 12. The first multiples of 6 and 12 are (6, 12, 18, 24,…) and (12) , 24, 36, 48,…) respectively. There are 3 commonly used methods to find the LCM of 6 and 12 – by listing the multiples, by division and by prime factors. 1. LCM of 6 and 12 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 6 and 12 is 12. Read: what is the lcm of 6 and 12 Explanation: Read more: what bm means in LCM gaming of two non-zero integers 0, x (6) and y (12), which is the smallest positive integer m (12) that is divisible by both x (6) and y ( 12) The methods for finding the LCM of 6 and 12 are explained below.
- According to the prime factorization method
- By multiples of the list
- According to the division method
LCM of 6 and 12 in prime factors
The prime factors of 6 and 12 are (2 × 3) = 21 × 31 and (2 × 2 × 3) = 22 × 31, respectively. The LCMs of 6 and 12 can be obtained by multiplying the prime factors. are raised to their respective highest powers, i.e. 22 × 31 = 12. Therefore, the LCM of 6 and 12 in prime factors is 12.
LCM of 6 and 12 in List Multiples
To calculate the LCM of 6 and 12 by enumerating common multiples, we can follow these steps:
- Step 1: List some multiples of 6 (6, 12, 18, 24,…) and 12 (12, 24, 36, 48,…)
- Step 2: The common multiples from multiples of 6 and 12 are 12, 24,. . .
- Step 3: The least common multiple of 6 and 12 is 12.
Further reading: nvl in rp is the least common multiple of 6 and 12 = 12.
LCM of 6 and 12 by Division Method
To calculate the LCM of 6 and 12 using the division method, we divide the numbers (6, 12) by their prime factors (preferably common). The product of these divisors for the LCM is 6 and 12.
- Step 1: Find the smallest prime that is a factor of at least one of the numbers, 6 and 12. Write this prime (2) to the left of the given numbers (6 and 12), separated by a ladder arrangement. .
- Step 2: If a given number (6, 12) is a multiple of 2 then divide it by 2 and write the quotient below. 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 6 and 12 is the product of all the primes to the left, i.e. LCM (6, 12) by division = 2 × 2 × 3 = 12.☛ Also check:Read more: What does déjà vu mean spiritually
- LCM of 8, 10 and 15 – 120
- LCM of 13 and 16 – 208
- LCM of 2 and 12 – 12
- LCM of 6 and 16 – 48
- LCM of 3, 9 and 21 – 63
- LCM of 60 and 700 – 2100
- LCM of 80, 85 and 90 – 12240
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