LCM that 5 and also 12 is the smallest number among all usual multiples the 5 and also 12. The first few multiples that 5 and 12 space (5, 10, 15, 20, 25, . . . ) and (12, 24, 36, 48, 60, 72, 84, . . . ) respectively. There space 3 typically used methods to uncover LCM the 5 and also 12 - through listing multiples, by department method, and by prime factorization.

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1.LCM the 5 and 12
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 5 and 12 is 60.

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Explanation:

The LCM of 2 non-zero integers, x(5) and also y(12), is the smallest optimistic integer m(60) that is divisible by both x(5) and also y(12) without any kind of remainder.


The techniques to find the LCM the 5 and also 12 are defined below.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM the 5 and also 12 by division Method

To calculate the LCM the 5 and also 12 by the department method, we will divide the numbers(5, 12) by their prime components (preferably common). The product of these divisors gives the LCM of 5 and 12.

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

The LCM of 5 and 12 is the product of every prime numbers on the left, i.e. LCM(5, 12) by department method = 2 × 2 × 3 × 5 = 60.

LCM that 5 and 12 through Listing Multiples

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To calculate the LCM that 5 and 12 by listing out the common multiples, we can follow the given below steps:

Step 1: perform a couple of multiples of 5 (5, 10, 15, 20, 25, . . . ) and 12 (12, 24, 36, 48, 60, 72, 84, . . . . )Step 2: The common multiples native the multiples that 5 and 12 room 60, 120, . . .Step 3: The smallest common multiple that 5 and 12 is 60.

∴ The least common multiple that 5 and also 12 = 60.

LCM that 5 and also 12 by prime Factorization

Prime administer of 5 and also 12 is (5) = 51 and also (2 × 2 × 3) = 22 × 31 respectively. LCM the 5 and also 12 can be derived by multiply prime components raised to their respective highest possible power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 5 and also 12 by element factorization is 60.

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FAQs top top LCM of 5 and also 12

What is the LCM of 5 and also 12?

The LCM of 5 and also 12 is 60. To discover the LCM (least typical multiple) that 5 and 12, we need to uncover the multiples of 5 and also 12 (multiples of 5 = 5, 10, 15, 20 . . . . 60; multiples the 12 = 12, 24, 36, 48 . . . . 60) and choose the the smallest multiple that is exactly divisible by 5 and 12, i.e., 60.

What is the the very least Perfect Square Divisible by 5 and also 12?

The least number divisible by 5 and also 12 = LCM(5, 12)LCM that 5 and 12 = 2 × 2 × 3 × 5 ⇒ the very least perfect square divisible by every 5 and also 12 = LCM(5, 12) × 3 × 5 = 900 Therefore, 900 is the compelled number.

What is the Relation in between GCF and LCM the 5, 12?

The adhering to equation can be provided to express the relation between GCF and LCM the 5 and also 12, i.e. GCF × LCM = 5 × 12.

If the LCM the 12 and also 5 is 60, find its GCF.

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LCM(12, 5) × GCF(12, 5) = 12 × 5Since the LCM that 12 and also 5 = 60⇒ 60 × GCF(12, 5) = 60Therefore, the greatest common factor (GCF) = 60/60 = 1.

What are the methods to find LCM that 5 and 12?

The typically used methods to find the LCM of 5 and 12 are: