Math, asked by mahmoudmba1321, 10 months ago

find the lcm of the numbers by prime factorization and continued division method. 18, 27, 36

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Answers

Answered by Anonymous
3

Answer:

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HCF (Highest Common Factor) = 9

Explanation:

18,27,36 are given numbers.

Prime factorization method:

Prime Factor of 18 = 2*3*3

Prime Factor 0f 27 = 3*3*3

Prime Factor of 36 = 2*2*3*3

The highest common factor (HCF) of two or more numbers is the largest number that is a factor of all of the given numbers.

So, HCF is 3*3 = 9

That's the final answer.

Division method :

To find the H.C.F. of the given number we will follow the following steps:

Step 1 : We divide the bigger number by smaller one.

Step 2: Divide smaller number in step 1 with remainder obtained in step 1.

Step 3 : Divide divisor of second step with remainder obtained in step 2.

Step 4: We will continue this process till we get remainder zero and divisor obtained in end is the required H.C.F.

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