Question
Download Solution PDFWhat is that least perfect square which is exactly divisible by each of 14, 84 and 28?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The numbers are 14, 84 and 28.
Formula:
The least number which is exactly divisible by each one of the given numbers is called their LCM.
Calculation:
LCM of 14, 84 and 28
14 = 2 × 7
84 = 2 × 2 × 3 × 7
28 = 2 × 2 × 7
LCM of 14, 84 and 28 = 2 × 2 × 3 × 7 = 84
To make the number perfect square multiply by 3 and 7 in 84, then
⇒ 84 × 3 × 7
⇒ 1764
∴ The least number which is a perfect square and is divisible by each of the numbers 14, 84 and 28 is 1764.
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