Question

11. Find the greatest number of 4-digits exactly
divisible by 12. 16, 24, 28 and 36​

Answer 1

Answer:

9072

Step-by-step explanation:

For L•C•M OF 12,16,24 28 and 36

12=3×2×2

16=2×2×2

24=2×2×2×3

28=2×2×7

36=2×2×3×3

So L•C•M is 2×2×2×2×3×3×7=1008

And we all know the greatest 4-digit no. is 9999

So, Dividing 9999 by 1008 we get, 9 as quotient and 927 as remainder.

So. the largest 4-digit no. divisible by all these

no. is

9999-927=9072

THANKS