Question

what is the least multiple of 23 which when divided by 18,21 and 24 and leaves remainder 7 ,10 and 30 respectively​

Answer 1

Answer:

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Asked on December 27, 2019 by

Shubhra Kheria

The least multiple of 23, which when divided by 18, 21 and 24 leaves remainder 7,10 and 13 respectively is

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ANSWER

(1)Take L. C. M of given no 18,21 and 24

2- use the formula

L.C.M×M−R=23×n

where R is

no. of term

sum of reminders

and M,n are variable

3- use the hit and trial method by putting the values M and check whether the no is divided by 23 or not

we have to find the LCM of the divisors i.e.18,21 and 24.

The LCM of 18, 21 and 24 is 504

and

if we subtract 11 from it, we get 493 and this is the required number that leaves the remainders 7, 10 and 13 with the divisors 18, 21 and 24 respectively.