LCM of 3 and 13 is the the smallest number amongst all typical multiples that 3 and also 13. The first few multiples the 3 and also 13 room (3, 6, 9, 12, 15, 18, . . . ) and (13, 26, 39, 52, 65, 78, 91, . . . ) respectively. There space 3 commonly used techniques to uncover LCM the 3 and 13 - by prime factorization, by listing multiples, and by department method.

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1.LCM the 3 and 13
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 3 and also 13 is 39.

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Explanation:

The LCM of 2 non-zero integers, x(3) and also y(13), is the smallest hopeful integer m(39) that is divisible through both x(3) and y(13) without any remainder.


The methods to find the LCM of 3 and also 13 are explained below.

By department MethodBy prime Factorization MethodBy Listing Multiples

LCM the 3 and also 13 by division Method

To calculation the LCM of 3 and 13 by the department method, we will divide the numbers(3, 13) by their prime determinants (preferably common). The product of this divisors gives the LCM of 3 and also 13.

Step 3: continue the steps until only 1s room left in the last row.

The LCM of 3 and 13 is the product of every prime number on the left, i.e. LCM(3, 13) by department method = 3 × 13 = 39.

LCM that 3 and 13 by prime Factorization

Prime administrate of 3 and 13 is (3) = 31 and also (13) = 131 respectively. LCM that 3 and 13 can be acquired by multiply prime components raised to their respective highest possible power, i.e. 31 × 131 = 39.Hence, the LCM of 3 and also 13 by prime factorization is 39.

LCM of 3 and 13 through Listing Multiples

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To calculation the LCM the 3 and 13 by listing out the common multiples, we can follow the given listed below steps:

Step 1: perform a few multiples that 3 (3, 6, 9, 12, 15, 18, . . . ) and 13 (13, 26, 39, 52, 65, 78, 91, . . . . )Step 2: The common multiples indigenous the multiples of 3 and also 13 are 39, 78, . . .Step 3: The smallest typical multiple of 3 and also 13 is 39.

∴ The least common multiple the 3 and also 13 = 39.

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FAQs top top LCM that 3 and 13

What is the LCM the 3 and also 13?

The LCM that 3 and also 13 is 39. To uncover the LCM (least common multiple) of 3 and also 13, we need to uncover the multiples that 3 and also 13 (multiples the 3 = 3, 6, 9, 12 . . . . 39; multiples the 13 = 13, 26, 39, 52) and choose the smallest multiple the is precisely divisible by 3 and 13, i.e., 39.

What space the techniques to find LCM that 3 and also 13?

The commonly used approaches to discover the LCM the 3 and 13 are:

Listing MultiplesPrime factorization MethodDivision Method

Which that the complying with is the LCM the 3 and also 13? 28, 42, 39, 12

The worth of LCM that 3, 13 is the smallest common multiple the 3 and also 13. The number to solve the given problem is 39.

If the LCM that 13 and also 3 is 39, uncover its GCF.

LCM(13, 3) × GCF(13, 3) = 13 × 3Since the LCM of 13 and 3 = 39⇒ 39 × GCF(13, 3) = 39Therefore, the GCF = 39/39 = 1.

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How to discover the LCM of 3 and 13 by prime Factorization?

To find the LCM the 3 and 13 making use of prime factorization, us will find the prime factors, (3 = 3) and (13 = 13). LCM the 3 and 13 is the product the prime factors raised to their respective greatest exponent among the number 3 and 13.⇒ LCM the 3, 13 = 31 × 131 = 39.