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Q.

Find the L.C.M and H.C.F of the following numbers. Question Image


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a

 Question Image

b

 Question Image

c

 Question Image

d

 Question Image

answer is A.

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Detailed Solution

Concept-  Convert each decimal to a like decimal (equal digits after decimal, add zeroes) . In this question, each integer must contain three decimal places to be treated as a decimal. The decimal points can then be removed. Determine the H.C.F. and L.C.M. using prime factorization. In last, write the H.C.F and L.C.M as a decimal number.
Given numbers are, Question ImageAlso, written as Question ImageNow, remove the decimals from the above numbers they will be Question ImageUsing prime factorisation method, Factors of the following numbers are
Question ImageQuestion ImageQuestion ImageNow, as we know that H.C.F is the product of common factors of the all the numbers
Question ImageAnd L.C.M is the product of factors with highest power in all the numbers.
Highest power of Question Imageare Question Image respectively
Therefore, Question ImageNow, put the decimal in numbers and L.C.M, H.C.F
The L.C.M and H.C.F of Question Imageare Question Image respectively.
Hence, the correct answer is option (1) .
 
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