Find the least positive integer which when diminished by 5 is exactly divisible by 36 and 54. Find HCF and LCM of 12, 63 and 99 using prime factorisation method About the author Emma

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 Reply

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=2×2×363=3×3×799=3×3×11soHCF=3and

LCM=8316