LCM of 4 and 12 is the the smallest number among all common multiples of 4 and 12. The first couple of multiples the 4 and also 12 are (4, 8, 12, 16, 20, 24, 28, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There room 3 generally used methods to find LCM the 4 and also 12 - by listing multiples, by department method, and also by prime factorization.

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1.LCM the 4 and 12
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM that 4 and 12 is 12.

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Explanation:

The LCM of two non-zero integers, x(4) and y(12), is the smallest positive integer m(12) the is divisible through both x(4) and y(12) without any remainder.


Let's look at the different methods for finding the LCM that 4 and 12.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM that 4 and 12 by Listing Multiples

To calculate the LCM the 4 and also 12 by listing out the common multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples that 4 (4, 8, 12, 16, 20, 24, 28, . . . ) and 12 (12, 24, 36, 48, 60, . . . . )Step 2: The typical multiples from the multiples the 4 and 12 are 12, 24, . . .Step 3: The smallest common multiple of 4 and also 12 is 12.

∴ The least common multiple that 4 and 12 = 12.

LCM that 4 and 12 by element Factorization

Prime factorization of 4 and also 12 is (2 × 2) = 22 and also (2 × 2 × 3) = 22 × 31 respectively. LCM that 4 and also 12 deserve to be acquired by multiplying prime factors raised to your respective highest power, i.e. 22 × 31 = 12.Hence, the LCM of 4 and 12 by element factorization is 12.

LCM that 4 and also 12 by department Method

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To calculate the LCM the 4 and 12 by the division method, we will certainly divide the numbers(4, 12) by their prime components (preferably common). The product of this divisors offers the LCM that 4 and 12.

Step 3: proceed the actions until just 1s room left in the critical row.

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The LCM that 4 and 12 is the product of every prime number on the left, i.e. LCM(4, 12) by department method = 2 × 2 × 3 = 12.