LCM that 6 and 14 is the the smallest number among all usual multiples the 6 and 14. The first couple of multiples that 6 and 14 are (6, 12, 18, 24, 30, . . . ) and (14, 28, 42, 56, 70, 84, . . . ) respectively. There are 3 frequently used approaches to uncover LCM the 6 and also 14 - by division method, through listing multiples, and also by element factorization.

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1.LCM that 6 and also 14
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 6 and 14 is 42.

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Explanation:

The LCM of two non-zero integers, x(6) and also y(14), is the smallest confident integer m(42) the is divisible through both x(6) and y(14) without any type of remainder.


The approaches to find the LCM the 6 and also 14 are described below.

By department MethodBy prime Factorization MethodBy Listing Multiples

LCM the 6 and 14 by department Method

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To calculation the LCM of 6 and 14 through the division method, we will certainly divide the numbers(6, 14) by your prime factors (preferably common). The product of this divisors offers the LCM that 6 and also 14.

Step 3: proceed the procedures until only 1s space left in the critical row.

The LCM the 6 and 14 is the product of every prime number on the left, i.e. LCM(6, 14) by department method = 2 × 3 × 7 = 42.

LCM the 6 and also 14 by prime Factorization

Prime administrate of 6 and also 14 is (2 × 3) = 21 × 31 and also (2 × 7) = 21 × 71 respectively. LCM that 6 and 14 have the right to be acquired by multiplying prime components raised to your respective highest possible power, i.e. 21 × 31 × 71 = 42.Hence, the LCM that 6 and also 14 by element factorization is 42.

LCM the 6 and 14 through Listing Multiples

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To calculate the LCM that 6 and 14 by listing the end the typical multiples, we deserve to follow the given listed below steps:

Step 1: list a few multiples the 6 (6, 12, 18, 24, 30, . . . ) and also 14 (14, 28, 42, 56, 70, 84, . . . . )Step 2: The common multiples native the multiples of 6 and 14 are 42, 84, . . .Step 3: The smallest typical multiple of 6 and 14 is 42.

∴ The least common multiple of 6 and 14 = 42.

☛ additionally Check:


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FAQs on LCM the 6 and 14

What is the LCM that 6 and 14?

The LCM that 6 and also 14 is 42. To find the LCM of 6 and also 14, we require to uncover the multiples the 6 and 14 (multiples the 6 = 6, 12, 18, 24 . . . . 42; multiples of 14 = 14, 28, 42, 56) and choose the smallest multiple the is exactly divisible by 6 and 14, i.e., 42.

If the LCM the 14 and 6 is 42, uncover its GCF.

LCM(14, 6) × GCF(14, 6) = 14 × 6Since the LCM that 14 and 6 = 42⇒ 42 × GCF(14, 6) = 84Therefore, the greatest common factor = 84/42 = 2.

What is the the very least Perfect Square Divisible through 6 and also 14?

The least number divisible by 6 and also 14 = LCM(6, 14)LCM that 6 and 14 = 2 × 3 × 7 ⇒ least perfect square divisible by each 6 and also 14 = LCM(6, 14) × 2 × 3 × 7 = 1764 Therefore, 1764 is the compelled number.

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How to find the LCM the 6 and also 14 by element Factorization?

To find the LCM of 6 and also 14 using prime factorization, we will find the element factors, (6 = 2 × 3) and (14 = 2 × 7). LCM the 6 and 14 is the product of prime determinants raised to their respective greatest exponent among the number 6 and 14.⇒ LCM the 6, 14 = 21 × 31 × 71 = 42.

What room the techniques to uncover LCM that 6 and 14?

The typically used approaches to find the LCM that 6 and also 14 are: