what is the least common denominator of 6 and 7
LCM of 6 and 7LCM of 6 and 7 is the smallest of all common multiples of 6 and 7. The first multiples of 6 and 7 are (6, 12, 18, 24, 30, 36,… ) and ( respectively 7, 14, 21, 28, 35, 42, 49,…). There are 3 commonly used methods to find the LCM of 6 and 7 – by division, by prime factors, and by enumerating multiples. 1. LCM of 6 and 7 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 6 and 7 is 42. Read: What is the least common denominator of 6 and 7 Explanation: Read more: What is the iLCM prototype of two integers other than 0, x (6) and y (7), which is the smallest positive integer m (42) that is divisible by both x (6) and y (7) that no The methods for finding the LCM of 6 and 7 are explained below.
- According to the division method
- By multiples of the list
- According to the prime factorization method
LCM of 6 and 7 by Division Method
To calculate the LCM of 6 and 7 using the division method, we divide the numbers (6, 7) by their prime factors (preferably regular). The product of these divisors for the LCM is 6 and 7.
- Step 1: Find the smallest prime that is a factor of at least one of the numbers, 6 and 7. Write this prime (2) to the left of the given numbers (6 and 7), separated by a ladder arrangement. .
- Step 2: If a given number (6, 7) 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 7 is the product of all the primes to the left, i.e. LCM (6, 7) by division = 2 × 3 × 7 = 42.
LCM of 6 and 7 in List Multiples
Read more: what is the center of an atom | Top Q&AT To calculate LCM of 6 and 7 by enumerating common multiples we can follow below steps:
- Step 1: List some multiples of 6 (6, 12, 18, 24, 30, 36,…) and 7 (7, 14, 21, 28, 35, 42, 49,…)
- Step 2: The common multiples from multiples of 6 and 7 are 42, 84 ,. . .
- Step 3: The least common multiple of 6 and 7 is 42.
∴ Least common multiple of 6 and 7 = 42.
LCM of 6 and 7 in prime factors
The prime factors of 6 and 7 are (2 × 3) = 21 × 31 and (7) = 71, respectively. The LCM of 6 and 7 can be obtained by multiplying prime factors raised to powers. their respective highest, i.e. 21 × 31 × 71 = 42. Therefore, the LCM of 6 and 7 by prime factorization is 42.☛ Also check:Read more: What is the factorization of 42
- LCM of 4 and 5 – 20
- LCM of 8, 16 and 24 – 48
- LCM of 5, 8 and 12 – 120
- LCM of 24, 30 and 40 – 120
- LCM of 10 and 11 – 110
- LCM of 36 and 48 – 144
- LCM of 60 and 90 – 180
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