what is the least multiple of 23which when divided by 18, 21 and 24 te

1.	what is the least multiple of 23which when divided by 18, 21 and 24 teaves remainders7, 10 and 13 respectively?(a) 1240(b) 3013(c) 2364d) 7628
Answer» Here (18 - 7) = 11, (21 - 10) = 11 and (24 - 13) = 11. L.C.M. of 18, 21 and 24 is 504. Let required number be 504k - 11. Least value of k for which (504k - 11) is divisible by 23 is k = 6. ∴Required number = 504 x 6 - 11 = 3024 - 11 = 3013.3013 is the least multiple of 23

what is the least multiple of 23which when divided by 18, 21 and 24 teaves remainders7, 10 and 13 respectively?(a) 1240(b) 3013(c) 2364d) 7628

Answer»

Here (18 - 7) = 11, (21 - 10) = 11 and (24 - 13) = 11.

L.C.M. of 18, 21 and 24 is 504.

Let required number be 504k - 11.

Least value of k for which (504k - 11) is divisible by 23 is k = 6.

∴Required number = 504 x 6 - 11 = 3024 - 11 = 3013.3013 is the least multiple of 23