4. Prove with example that HCF × LCM = product ?
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Let a=10 , b=12.
10= 2×5.
12=2×2×3=2²×3.
LCM= 2²×5×3= 4×5×3= 60.
HCF= 2.
Now,
=> LCM×HCF
=> 60 × 2 = 120 -----(1)
So,
=> a × b
=> 10 × 12= 120 -----(2)
Since,
=> LCM×HCF = a×b
=> 120 = 120.
=> LHS = RHS.
Hence proved..
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