8. Find the least square number exactly divisible by each one of the numbers
4, 6, 8 and 12.
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Answer:
144
Step-by-step explanation:
LCM of 4,6,8 & 12 is 2^3×3=8×3=24 , so the least suare number divisible by 24 will be multiple of 24. So 2^3×3=24+120=2^3×3+2^3×3×5=3×2^3(1+5)
=2^3×3×(6)=2^3×3×2×3=2^4×3^2
=(2^2×3)^2=12^2=144.
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