LCM of 14 and 20 is the the smallest number among all usual multiples the 14 and 20. The first few multiples the 14 and also 20 space (14, 28, 42, 56, 70, . . . ) and (20, 40, 60, 80, . . . ) respectively. There space 3 typically used techniques to discover LCM the 14 and 20 - by prime factorization, by department method, and also by listing multiples.

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1.LCM the 14 and also 20
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 14 and 20 is 140.

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Explanation:

The LCM of 2 non-zero integers, x(14) and y(20), is the smallest positive integer m(140) that is divisible by both x(14) and y(20) without any kind of remainder.


The methods to uncover the LCM that 14 and 20 are defined below.

By Listing MultiplesBy division MethodBy element Factorization Method

LCM the 14 and 20 through Listing Multiples

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To calculate the LCM that 14 and also 20 by listing the end the common multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples the 14 (14, 28, 42, 56, 70, . . . ) and also 20 (20, 40, 60, 80, . . . . )Step 2: The typical multiples native the multiples the 14 and also 20 space 140, 280, . . .Step 3: The smallest usual multiple that 14 and also 20 is 140.

∴ The least usual multiple of 14 and also 20 = 140.

LCM of 14 and also 20 by department Method

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To calculation the LCM the 14 and 20 by the department method, we will certainly divide the numbers(14, 20) by your prime determinants (preferably common). The product of this divisors gives the LCM of 14 and also 20.

Step 3: proceed the procedures until just 1s are left in the last row.

The LCM of 14 and 20 is the product of all prime number on the left, i.e. LCM(14, 20) by department method = 2 × 2 × 5 × 7 = 140.

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LCM the 14 and also 20 by element Factorization

Prime administrate of 14 and 20 is (2 × 7) = 21 × 71 and (2 × 2 × 5) = 22 × 51 respectively. LCM of 14 and 20 deserve to be derived by multiply prime components raised to your respective highest possible power, i.e. 22 × 51 × 71 = 140.Hence, the LCM of 14 and 20 by element factorization is 140.