LCM the 5 and also 6 is the smallest number amongst all common multiples of 5 and also 6. The first couple of multiples of 5 and 6 are (5, 10, 15, 20, 25, 30, . . . ) and (6, 12, 18, 24, 30, 36, . . . ) respectively. There space 3 frequently used methods to find LCM the 5 and also 6 - by prime factorization, by division method, and also by listing multiples.

You are watching: The lcm of 5 and 6

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 confident integer m(30) the is divisible by both x(5) and also y(6) without any kind of remainder.


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

By element Factorization MethodBy department MethodBy Listing Multiples

LCM that 5 and 6 by prime Factorization

Prime administrate of 5 and also 6 is (5) = 51 and also (2 × 3) = 21 × 31 respectively. LCM that 5 and also 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 of 5 and 6 by prime factorization is 30.

LCM that 5 and also 6 by division Method

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

Step 3: proceed the measures until just 1s are left in the critical row.

The LCM that 5 and 6 is the product of all prime numbers on the left, i.e. LCM(5, 6) by division method = 2 × 3 × 5 = 30.

LCM of 5 and also 6 by Listing Multiples

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To calculate the LCM of 5 and 6 through listing out the typical multiples, we can follow the given listed below steps:

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

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

☛ also Check:


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FAQs ~ above LCM the 5 and 6

What is the LCM of 5 and also 6?

The LCM the 5 and 6 is 30. To uncover the least typical multiple of 5 and also 6, we need to find the multiples that 5 and 6 (multiples of 5 = 5, 10, 15, 20 . . . . 30; multiples the 6 = 6, 12, 18, 24 . . . . 30) and choose the smallest multiple that is precisely divisible through 5 and also 6, i.e., 30.

If the LCM that 6 and 5 is 30, uncover its GCF.

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

What are the approaches to find LCM that 5 and also 6?

The generally used approaches to find the LCM that 5 and 6 are:

Listing MultiplesPrime factorization MethodDivision Method

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

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

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Which of the following is the LCM of 5 and 6? 3, 32, 35, 30

The worth of LCM the 5, 6 is the smallest common multiple of 5 and 6. The number satisfying the given problem is 30.