LCM that 3 and also 4 is the the smallest number among all common multiples the 3 and 4. The first couple of multiples the 3 and also 4 room (3, 6, 9, 12, 15, 18, 21, . . . ) and also (4, 8, 12, 16, 20, . . . ) respectively. There room 3 frequently used approaches to uncover LCM of 3 and 4 - by listing multiples, by division method, and also by element factorization.

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 1 LCM of 3 and also 4 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM the 3 and 4 is 12.

Explanation:

The LCM of 2 non-zero integers, x(3) and y(4), is the smallest hopeful integer m(12) that is divisible by both x(3) and y(4) without any type of remainder.

The methods to discover the LCM the 3 and 4 are explained below.

By Listing MultiplesBy department MethodBy element Factorization Method

LCM that 3 and 4 through Listing Multiples

To calculate the LCM of 3 and also 4 through listing the end the typical multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples that 3 (3, 6, 9, 12, 15, 18, 21, . . . ) and also 4 (4, 8, 12, 16, 20, . . . . )Step 2: The usual multiples indigenous the multiples that 3 and also 4 room 12, 24, . . .Step 3: The smallest usual multiple the 3 and also 4 is 12.

∴ The least typical multiple the 3 and also 4 = 12.

LCM that 3 and also 4 by division Method

To calculate the LCM that 3 and 4 through the division method, we will divide the numbers(3, 4) by their prime components (preferably common). The product of these divisors gives the LCM of 3 and also 4.

Step 3: proceed the actions until only 1s are left in the last row.

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

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LCM the 3 and also 4 by element Factorization

Prime administer of 3 and also 4 is (3) = 31 and (2 × 2) = 22 respectively. LCM the 3 and 4 have the right to be acquired by multiply prime components raised to their respective highest power, i.e. 22 × 31 = 12.Hence, the LCM that 3 and also 4 by element factorization is 12.