find the largest number of four digits exactly divisible by 12, HCF & LCM, General Mathematics

Question:Find the largest number of four digits  exactly divisible by 12, 15, 18 and 27.

Answer The largest number of four digits is 9999.
Required number must be divisible by 1 c.m of 12, 15, 18, 27 i.e. by 540.
On dividing 9999 by 540, we get 279 as remainder.
`:.` Required number = (9999-279) = 9720.

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Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.

Question:Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.

Answer The largest number of four digits is 9999. Required number must be divisible by 1 c.m of 12, 15, 18, 27 i.e. by 540. On dividing 9999 by 540, we get 279 as remainder. `:.` Required number = (9999-279) = 9720.