Question

LCM using prime factors method of 20 and 27​

Answer 1

Answer:

==>Alternatively, the lcm of 20 and 27 can be found using the prime factorization of 20 and 27:

The prime factorization of 20 is: 2 x 2 x 5.

The prime factorization of 27 is: 3 x 3 x 3.

Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(20,20) = 540.

Step-by-step explanation:

===>and 27

If you just want to know what is the least common multiple of 20 and 27, it is 540. Usually, this is written as

lcm(20,27) = 540

The lcm of 20 and 27 can be obtained like this:

The multiples of 20 are … , 520, 540, 560, ….

The multiples of 27 are …, 513, 540, 567, …

The common multiples of 20 and 27 are n x 540, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n

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=0∈Z.

In the intersection multiples of 20 ∩ multiples of 27 the least positive element is 540.

Therefore, the least common multiple of 20 and 27 is 540.

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