what is the lcm of 7 and 12
LCM of 7 and 12LCM of 7 and 12 is the smallest of all common multiples of 7 and 12. The first multiples of 7 and 12 are (7, 14, 21, 28,…) and (12, 24, 36, 48, 60, 72, 84, …). There are 3 commonly used methods to find the LCM of 7 and 12 – by listing the multiples, by division and by prime factors. 1. LCM of 7 and 12 2. List of methods 3. Solved examples 4. FAQAnswer: LCM of 7 and 12 is 84. Read: what is the lcm of 7 and 12 Explanation: Read more: March 24 is the zodiac sign | Q&A LCM of two integers other than 0, x(7) and y(12), is the smallest positive integer m(84) that is divisible by both x(7) and y(12) with no remainder . different methods to find the LCM of 7 and 12.
- According to the division method
- According to the prime factorization method
- By multiples of the list
LCM of 7 and 12 by Division Method
To calculate the LCM of 7 and 12 using division, we divide the numbers (7, 12) by their prime factors (preferably regular). The product of these divisors for the LCM is 7 and 12.
- Step 1: Find the smallest prime that is a factor of at least one of the numbers, 7 and 12. Write this prime (2) to the left of the given numbers (7 and 12), separated by a ladder arrangement. .
- Step 2: If any of the given numbers (7, 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 7 and 12 is the product of all the primes to the left, i.e. LCM (7, 12) by division = 2 × 2 × 3 × 7 = 84.
LCM of 7 and 12 in prime factors
Read more: what is boot slot utility | The initial Q & APrime remainders of 7 and 12 are (7) = 71 and (2 × 2 × 3) = 22 × 31, respectively. The LCMs of 7 and 12 can be obtained by multiplying the prime factors given. raised to their highest powers, i.e. 22 × 31 × 71 = 84. Thus, the LCM of 7 and 12 by multiplying the prime factors is 84.
LCM of 7 and 12 in List Multiples
To calculate the LCM of 7 and 12 by enumerating common multiples, we can follow these steps:
- Step 1: List some multiples of 7 (7, 14, 21, 28,…) and 12 (12, 24, 36, 48, 60, 72, 84,…)
- Step 2: The common multiples from multiples of 7 and 12 are 84, 168 ,. . .
- Step 3: The least common multiple of 7 and 12 is 84.
∴ Least common multiple of 7 and 12 = 84.☛ Also check:Read more: what is the square root of 37 | Top Q&A
- LCM of 12 and 36 – 36
- LCM of 15 and 40 – 120
- LCM of 9 and 33 – 99
- LCM of 35 and 49 – 245
- LCM 20 and 24 – 120
- LCM of 87 and 145 – 435
- LCM of 27 and 36 – 108
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