Question

find the lcm using prime factorisation of 16,28,38.

Answer 1

Hiyaaaa
2 | 16, 28, 38
----------------------
2 | 8, 14, 19
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2 | 4, 7, 19
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2 | 2, 7, 19
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2 | 1, 7, 19
----------------
7 | 1, 1, 19
----------------
19| 1, 1, 1

Therefore the Lcm of 16, 28 and 38 id
=2×2×2×2×2×7×19
=32×7×19
=224×19
=4256..
Hope this helps you..

Answer 2

Answer:

LCM of the given number will be 2128

Step-by-step explanation:

In context to question asked,

We have to determine the LCM

As per question,

We have,

16, 28, 38

As it is mentioned to determine the LCM by using prime factorisation method.

We know that,

• LCM of two or more number is that particular number which is the smallest common multiple of all the given number.

• Prime factorisation method is the method in which we convert the given number as a factors of prime numbers.

• Prime numbers are those numbers which are either divisible by 1 or itself.

So, converting the given number in form of prime numbers,

We will get,

$16 = 2 \times 2\times 2 \times 2\\28 = 2 \times 2 \times 7\\38 = 2\times 19\\=>LCM = 2\times 19 \times 2 \times 7 \times 2 \times 2\\=16 \times 7 \times 19 \\= 112 \times 19 \\= 2128$