LCM the 5 and 6 is the the smallest number among all usual multiples the 5 and 6. The first couple of multiples that 5 and also 6 room (5, 10, 15, 20, 25, 30, . . . ) and (6, 12, 18, 24, 30, 36, . . . ) respectively. There space 3 generally used methods to uncover LCM of 5 and also 6 - by element factorization, by division method, and also by listing multiples.

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1.LCM the 5 and also 6
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 5 and also 6 is 30.

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Explanation:

The LCM of 2 non-zero integers, x(5) and also y(6), is the smallest hopeful integer m(30) that is divisible by both x(5) and y(6) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM that 5 and also 6.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM of 5 and also 6 by element Factorization

Prime administer of 5 and also 6 is (5) = 51 and also (2 × 3) = 21 × 31 respectively. LCM that 5 and 6 have the right to be acquired by multiplying prime components raised to their respective highest possible power, i.e. 21 × 31 × 51 = 30.Hence, the LCM that 5 and also 6 by element factorization is 30.

LCM of 5 and 6 by division Method

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To calculate the LCM the 5 and 6 by the division method, we will certainly divide the numbers(5, 6) by your prime factors (preferably common). The product of this divisors offers the LCM of 5 and 6.

Step 3: continue the procedures until only 1s are left in the last row.

The LCM of 5 and also 6 is the product of every prime number on the left, i.e. LCM(5, 6) by department method = 2 × 3 × 5 = 30.

LCM that 5 and also 6 by Listing Multiples

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To calculation the LCM that 5 and also 6 by listing out the usual multiples, we can follow the given listed below steps:

Step 1: perform a few multiples the 5 (5, 10, 15, 20, 25, 30, . . . ) and also 6 (6, 12, 18, 24, 30, 36, . . . . )Step 2: The usual multiples native the multiples of 5 and also 6 space 30, 60, . . .Step 3: The smallest usual multiple that 5 and 6 is 30.

∴ The least typical multiple of 5 and 6 = 30.

☛ additionally Check:


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FAQs top top LCM that 5 and also 6

What is the LCM that 5 and 6?

The LCM the 5 and also 6 is 30. To discover the least typical multiple of 5 and 6, we require to discover the multiples the 5 and 6 (multiples that 5 = 5, 10, 15, 20 . . . . 30; multiples that 6 = 6, 12, 18, 24 . . . . 30) and also choose the smallest multiple that is specifically divisible by 5 and 6, i.e., 30.

If the LCM the 6 and also 5 is 30, find its GCF.

LCM(6, 5) × GCF(6, 5) = 6 × 5Since the LCM that 6 and also 5 = 30⇒ 30 × GCF(6, 5) = 30Therefore, the greatest common factor = 30/30 = 1.

What are the approaches to discover LCM the 5 and also 6?

The frequently used techniques to uncover the LCM that 5 and 6 are:

Listing MultiplesPrime administer MethodDivision Method

What is the Relation between GCF and also LCM of 5, 6?

The following equation can be offered to express the relation in between GCF and LCM of 5 and also 6, i.e. GCF × LCM = 5 × 6.

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Which that the complying with is the LCM of 5 and 6? 3, 32, 35, 30

The worth of LCM the 5, 6 is the smallest typical multiple of 5 and also 6. The number solve the given condition is 30.