what is the lcm of 6 and 15
LCM of 6 and 15LCM of 6 and 15 is the smallest of all common multiples of 6 and 15. The first multiples of 6 and 15 are (6, 12, 18, 24, 30, 36,…) And ( 15, 30, 45, 60, 75,…) respectively. There are 3 commonly used methods to find the LCM of 6 and 15 – by division, by enumerating multiples, and by prime factors. 1. LCM of 6 and 15 2. List of methods 3. Solved examples 4. FAQAnswer: LCM of 6 and 15 is 30. Read: what is lcm of 6 and 15 Explanation: Read more: The name of the grain is similar to farro (15) without any residue. The methods for finding the LCM of 6 and 15 are explained below.
- According to the division method
- According to the prime factorization method
- By multiples of the list
LCM of 6 and 15 by Division Method
To calculate the LCM of 6 and 15 using the division method, we divide the numbers (6, 15) by their prime factors (preferably common). The product of these divisors for the LCM is 6 and 15.
- Step 1: Find the smallest prime that is a factor of at least one of the numbers, 6 and 15. Write this prime (2) to the left of the given numbers (6 and 15), separated by a ladder arrangement. .
- Step 2: If a given number (6, 15) 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 15 is the product of all the primes to the left, i.e. LCM (6, 15) by division = 2 × 3 × 5 = 30.
LCM of 6 and 15 in prime factors
Read more: What does Joi stand for? The factorization of 6 and 15 is (2 × 3) = 21 × 31 and (3 × 5) = 31 × 51, respectively. The LCM of 6 and 15 can be obtained by multiplying the raised prime factors. to their highest powers, i.e. 21 × 31 × 51 = 30. Thus, the LCM of 6 and 15 by multiplying the prime factor is 30.
LCM of 6 and 15 in List Multiples
To calculate the LCM of 6 and 15 by enumerating common multiples, we can follow these steps:
- Step 1: List some multiples of 6 (6, 12, 18, 24, 30, 36,…) and 15 (15, 30, 45, 60, 75,…)
- Step 2: The common multiples from multiples of 6 and 15 are 30, 60,. . .
- Step 3: The least common multiple of 6 and 15 is 30.
∴ Least common multiple of 6 and 15 = 30.☛ Also check:Read more: What the Performance Planner can suggest
- LCM of 8, 10 and 15 – 120
- LCM of 6 and 8 – 24
- LCM of 10 and 25-50
- LCM of 30 and 90 – 90
- LCM of 15, 25, 40 and 75 – 600
- LCM of 48 and 60 – 240
- LCM of 6, 9 and 12 – 36
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