LCM the 12 and 36 is the smallest number amongst all usual multiples of 12 and also 36. The first couple of multiples that 12 and 36 room (12, 24, 36, 48, 60, 72, 84, . . . ) and also (36, 72, 108, 144, 180, 216, 252, . . . ) respectively. There room 3 typically used techniques to find LCM that 12 and also 36 - by listing multiples, by prime factorization, and also by department method.

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1.LCM of 12 and 36
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and 36 is 36.

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Explanation:

The LCM of two non-zero integers, x(12) and also y(36), is the smallest optimistic integer m(36) the is divisible through both x(12) and also y(36) without any type of remainder.


The methods to discover the LCM the 12 and 36 are described below.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM the 12 and 36 by element Factorization

Prime factorization of 12 and also 36 is (2 × 2 × 3) = 22 × 31 and (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM the 12 and 36 can be obtained by multiply prime determinants raised to their respective highest possible power, i.e. 22 × 32 = 36.Hence, the LCM of 12 and also 36 by element factorization is 36.

LCM that 12 and also 36 by division Method

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To calculation the LCM that 12 and 36 by the department method, we will certainly divide the numbers(12, 36) by their prime determinants (preferably common). The product of these divisors provides the LCM the 12 and also 36.

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

The LCM of 12 and 36 is the product of every prime numbers on the left, i.e. LCM(12, 36) by department method = 2 × 2 × 3 × 3 = 36.

LCM the 12 and 36 by Listing Multiples

To calculate the LCM that 12 and also 36 by listing the end the common multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples the 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and also 36 (36, 72, 108, 144, 180, 216, 252, . . . . )Step 2: The typical multiples native the multiples the 12 and 36 are 36, 72, . . .Step 3: The smallest common multiple that 12 and also 36 is 36.

∴ The least typical multiple that 12 and also 36 = 36.

☛ also Check:


Example 1: Verify the relationship in between GCF and also LCM that 12 and also 36.

Solution:

The relation in between GCF and also LCM that 12 and also 36 is provided as,LCM(12, 36) × GCF(12, 36) = Product of 12, 36Prime factorization of 12 and 36 is offered as, 12 = (2 × 2 × 3) = 22 × 31 and 36 = (2 × 2 × 3 × 3) = 22 × 32LCM(12, 36) = 36GCF(12, 36) = 12LHS = LCM(12, 36) × GCF(12, 36) = 36 × 12 = 432RHS = Product of 12, 36 = 12 × 36 = 432⇒ LHS = RHS = 432Hence, verified.


Example 3: uncover the smallest number the is divisible through 12 and 36 exactly.

Solution:

The the smallest number the is divisible through 12 and 36 specifically is their LCM.⇒ Multiples the 12 and 36:

Multiples of 12 = 12, 24, 36, 48, 60, 72, . . . .Multiples that 36 = 36, 72, 108, 144, 180, 216, . . . .

Therefore, the LCM the 12 and also 36 is 36.


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FAQs ~ above LCM the 12 and also 36

What is the LCM the 12 and 36?

The LCM that 12 and 36 is 36. To discover the LCM (least typical multiple) the 12 and also 36, we need to discover the multiples that 12 and also 36 (multiples of 12 = 12, 24, 36, 48; multiples the 36 = 36, 72, 108, 144) and choose the smallest multiple that is precisely divisible by 12 and also 36, i.e., 36.

What room the techniques to discover LCM the 12 and also 36?

The typically used approaches to discover the LCM of 12 and 36 are:

Division MethodPrime factorization MethodListing Multiples

Which of the complying with is the LCM of 12 and also 36? 2, 25, 5, 36

The value of LCM of 12, 36 is the smallest typical multiple that 12 and 36. The number to solve the given problem is 36.

If the LCM that 36 and also 12 is 36, find its GCF.

LCM(36, 12) × GCF(36, 12) = 36 × 12Since the LCM that 36 and also 12 = 36⇒ 36 × GCF(36, 12) = 432Therefore, the GCF (greatest typical factor) = 432/36 = 12.

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What is the Relation between GCF and LCM that 12, 36?

The following equation deserve to be offered to refer the relation in between GCF and also LCM that 12 and also 36, i.e. GCF × LCM = 12 × 36.