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Question

The sum of first three common multiples of 4,5 and 6 is


A

20

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B

80

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C

360

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D

120

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Solution

The correct option is C

360


Step 1: Multiples and Common multiples

  1. A multiple of a number is a number that is the product of a given number and other natural number.
  2. Multiples that are common to two numbers are known as common multiples of those numbers.

Step 2: Explanation for correct answer

Option (c): 360

Find the common multiples of 4,5,6

LCM of 4,5 and 6=60

Common multiples are 60,120,180.

Sum of common multiples =60+120+180

Sum of common multiples =360

Thus, option (c) is the correct answer.

Step 3: Explanation for incorrect answers

Option (a): 20

Option (b): 80

Option (d): 120

By determining the sum of first three common multiples of 4,5 and 6 is 360.

Thus, option (a), (b) and (d) are incorrect answers.

Hence, option (c) is the correct answer.


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