Find the least number which whendivided
by 7,16,22 leave remainder 5 in each case
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Answer:
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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Co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.
Co-prime numbers are also known as relatively prime or mutually prime numbers.
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