LCM of 3 and also 4 is the smallest number amongst all typical multiples of 3 and 4. The first few multiples the 3 and 4 space (3, 6, 9, 12, 15, 18, 21, . . . ) and also (4, 8, 12, 16, 20, . . . ) respectively. There room 3 frequently used methods to discover LCM that 3 and 4 - by listing multiples, by division method, and by prime factorization.

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

Answer: LCM that 3 and 4 is 12.

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Explanation:

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


The techniques to discover the LCM of 3 and also 4 are explained below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM of 3 and 4 by Listing Multiples

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To calculation the LCM that 3 and also 4 by listing the end the usual multiples, we can follow the given listed below steps:

Step 1: list a few multiples that 3 (3, 6, 9, 12, 15, 18, 21, . . . ) and also 4 (4, 8, 12, 16, 20, . . . . )Step 2: The typical multiples native the multiples that 3 and 4 space 12, 24, . . .Step 3: The smallest typical multiple that 3 and also 4 is 12.

∴ The least usual multiple that 3 and also 4 = 12.

LCM the 3 and 4 by division Method

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

Step 3: continue the procedures until just 1s room left in the critical row.

The LCM of 3 and 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 of 3 and also 4 by element Factorization

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