which one from 12,14,16,18 will be the dividend of the number whose dividend are 16 and 7
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First of all find LCM and as it leaves remainder of 4 then the number is LCM +4
12=2×2×3=2^2×3
16=2×2×2×2=2^4
18=2×3×3=3^2×2
30=2×3×5
LCM (12,16,18,30)=2^4×3^2×5
LCM=16×9×5
LCM=720
The number can be 720+4=724
But the condition is, the number should also be completely divisible by 7
As 724 is not completely divisible by 7
Therefore the number is multiple of 720 plus 4 which is divisible by 7
720×2+4=1444 not divisible by 7
720×3+4=2164 not divisible by 7
720×4+4=2884
2884 is completely divisible by 7
Answer is 2884
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