LCM the 14 and also 15 is the the smallest number among all usual multiples of 14 and also 15. The first couple of multiples that 14 and also 15 space (14, 28, 42, 56, . . . ) and (15, 30, 45, 60, 75, 90, 105, . . . ) respectively. There are 3 commonly used methods to uncover LCM of 14 and also 15 - by element factorization, by listing multiples, and also by department method.

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1.LCM that 14 and also 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 14 and also 15 is 210.

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Explanation:

The LCM of 2 non-zero integers, x(14) and y(15), is the smallest optimistic integer m(210) the is divisible by both x(14) and also y(15) without any remainder.


The approaches to find the LCM of 14 and 15 are defined below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM that 14 and also 15 through Listing Multiples

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To calculation the LCM the 14 and 15 by listing out the common multiples, we can follow the given below steps:

Step 1: list a few multiples that 14 (14, 28, 42, 56, . . . ) and 15 (15, 30, 45, 60, 75, 90, 105, . . . . )Step 2: The common multiples native the multiples of 14 and 15 are 210, 420, . . .Step 3: The smallest typical multiple the 14 and also 15 is 210.

∴ The least usual multiple the 14 and also 15 = 210.

LCM of 14 and also 15 by department Method

To calculate the LCM that 14 and also 15 by the department method, we will divide the numbers(14, 15) by their prime factors (preferably common). The product of this divisors provides the LCM that 14 and also 15.

Step 3: continue the measures until only 1s are left in the critical row.

The LCM that 14 and also 15 is the product of all prime number on the left, i.e. LCM(14, 15) by department method = 2 × 3 × 5 × 7 = 210.

LCM of 14 and also 15 by prime Factorization

Prime factorization of 14 and also 15 is (2 × 7) = 21 × 71 and also (3 × 5) = 31 × 51 respectively. LCM that 14 and also 15 have the right to be obtained by multiplying prime determinants raised to your respective greatest power, i.e. 21 × 31 × 51 × 71 = 210.Hence, the LCM of 14 and also 15 by prime factorization is 210.

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FAQs ~ above LCM the 14 and 15

What is the LCM of 14 and 15?

The LCM the 14 and also 15 is 210. To find the least usual multiple of 14 and 15, we need to find the multiples of 14 and also 15 (multiples that 14 = 14, 28, 42, 56 . . . . 210; multiples that 15 = 15, 30, 45, 60 . . . . 210) and choose the smallest multiple that is precisely divisible by 14 and 15, i.e., 210.

What are the methods to discover LCM the 14 and also 15?

The generally used approaches to discover the LCM that 14 and also 15 are:

Division MethodListing MultiplesPrime administrate Method

What is the the very least Perfect Square Divisible by 14 and also 15?

The least number divisible by 14 and 15 = LCM(14, 15)LCM the 14 and 15 = 2 × 3 × 5 × 7 ⇒ least perfect square divisible by each 14 and 15 = LCM(14, 15) × 2 × 3 × 5 × 7 = 44100 Therefore, 44100 is the forced number.

Which that the adhering to is the LCM that 14 and also 15? 45, 210, 15, 16

The worth of LCM of 14, 15 is the smallest common multiple that 14 and also 15. The number to solve the given condition is 210.

If the LCM the 15 and also 14 is 210, find its GCF.

See more: What Is The Gcf Of 5 And 10, Greatest Common Factor Of 5 And 10

LCM(15, 14) × GCF(15, 14) = 15 × 14Since the LCM that 15 and also 14 = 210⇒ 210 × GCF(15, 14) = 210Therefore, the greatest typical factor = 210/210 = 1.