Find the least positive integer which when diminished by 5 is exactly divisible
by 36 and 54.
Find HCF and LCM of 12,

1 thought on “Find the least positive integer which when diminished by 5 is exactly divisible <br /> by 36 and 54.<br /> Find HCF and LCM of 12,”

1. Answer:

   113 , (3, 8316)

   Step-by-step explanation:

   Since Number is divisible by 36 & 54

   ∴ LCM of 36 & 54=2×2×3×3×3 =108

   ∴ Least Number (LN) ⇒108+ ‘5’

   ( Since no is diminished by 5 )

   ∴ LN=113

   ∴ least Number which if diminished by 5 is exactly divisible by 36 & 54→113

   12=2×2×3

   63=3×3×7

   99=3×3×11

   so HCF = 3

   and LCM = 8316

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