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

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1.LCM the 3 and 4
2.List the 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 y(4), is the smallest hopeful integer m(12) the is divisible by both x(3) and also y(4) without any kind of remainder.


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

By Listing MultiplesBy division MethodBy element Factorization Method

LCM of 3 and 4 by Listing Multiples

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

Step 1: perform a couple of multiples the 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 common multiple the 3 and also 4 is 12.

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

LCM the 3 and 4 by department Method

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

Step 3: continue the actions until just 1s are left in the last row.

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

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LCM that 3 and also 4 by element Factorization

Prime administrate of 3 and 4 is (3) = 31 and also (2 × 2) = 22 respectively. LCM of 3 and 4 have the right to be obtained by multiply prime factors raised to your respective greatest power, i.e. 22 × 31 = 12.Hence, the LCM of 3 and 4 by element factorization is 12.