LCM that 14 and 20 is the the smallest number amongst all usual multiples the 14 and 20. The first couple of multiples the 14 and 20 room (14, 28, 42, 56, 70, . . . ) and also (20, 40, 60, 80, . . . ) respectively. There room 3 generally used methods to uncover LCM that 14 and also 20 - by element factorization, by division method, and also by listing multiples.

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

Answer: LCM of 14 and also 20 is 140.

Explanation:

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

The techniques to find the LCM the 14 and also 20 are described below.

By Listing MultiplesBy division MethodBy prime Factorization Method

### LCM that 14 and also 20 through Listing Multiples

To calculate the LCM the 14 and also 20 through listing the end the common multiples, we can follow the given listed below steps:

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

∴ The least common multiple the 14 and 20 = 140.

### LCM the 14 and 20 by department Method

To calculation the LCM that 14 and 20 by the division method, we will certainly divide the numbers(14, 20) by your prime factors (preferably common). The product of these divisors provides the LCM that 14 and 20.

Step 3: proceed the measures until only 1s room left in the last row.

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

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### LCM that 14 and also 20 by prime Factorization

Prime factorization of 14 and also 20 is (2 × 7) = 21 × 71 and also (2 × 2 × 5) = 22 × 51 respectively. LCM the 14 and 20 have the right to be acquired by multiplying prime components raised to your respective greatest power, i.e. 22 × 51 × 71 = 140.Hence, the LCM of 14 and also 20 by prime factorization is 140.