what is the least common multiple of 3 and 6
The LCM of 3 and 6 The LCM of 3 and 6 is the smallest of all the common multiples of 3 and 6. The first multiples of 3 and 6 are (3, 6, 9, 12, 15, 18, 21,.. .) and (6, 12, 18, 24, 30, 36, 42,…) respectively. There are 3 commonly used methods to find the LCM of 3 and 6 – by listing the multiples, by division and by prime factors. 1. LCM of 3 and 6 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 3 and 6 is 6. Read: what is the most common multiple of 3 and 6 Explanation: Read more: What is a hat trick in football ) without any residuals. Let’s see the different methods to find the LCM of 3 and 6.
- According to the prime factorization method
- By multiples of the list
- According to the division method
LCM of 3 and 6 in prime factors
The prime factors of 3 and 6 are (3) = 31 and (2 × 3) = 21 × 31, respectively. The LCMs of 3 and 6 can be obtained by multiplying prime factors raised to powers. their highest, ie 21 × 31 = 6. Therefore, the LCM of 3 and 6 in prime factors is 6.
LCM of 3 and 6 in List Multiples
To calculate the LCM of 3 and 6 by enumerating common multiples, we can follow these steps:
- Step 1: List some multiples of 3 (3, 6, 9, 12, 15, 18, 21,…) and 6 (6, 12, 18, 24, 30, 36, 42,…)
- Step 2: The common multiples from the multiples of 3 and 6 are 6, 12 ,. . .
- Step 3: The least common multiple of 3 and 6 is 6.
Read more: What wrestlers wear under their singles∴ Least common multiple of 3 and 6 = 6.
LCM of 3 and 6 by Division Method
To calculate the LCM of 3 and 6 using the division method, we divide the numbers (3, 6) by their prime factors (preferably common). The product of these divisors for the LCM is 3 and 6.
- Step 1: Find the smallest prime that is a factor of at least one of the numbers, 3 and 6. Write this prime (2) to the left of the given numbers (3 and 6), separated by a ladder arrangement. .
- Step 2: If a given number (3, 6) 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 3 and 6 is the product of all the primes to the left, i.e. LCM (3, 6) by division = 2 × 3 = 6.☛ Also check:Read more: ARK Survival Evolved: Fortitude – What does it do? | Top Q&A
- LCM of 48 and 60 – 240
- LCM of 36 and 48 – 144
- LCM of 14 and 42 – 42
- LCM of 37 and 49 – 1813
- LCM of 64 and 96 – 192
- LCM of 15 and 17 – 255
- LCM of 40, 42 and 45 – 2520
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