Question

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

Answer 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